13670324640 has 384 divisors, whose sum is σ = 55366295040. Its totient is φ = 3124085760.

The previous prime is 13670324639. The next prime is 13670324641. The reversal of 13670324640 is 4642307631.

It is a happy number.

13670324640 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 0 + 3 + 2 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (13670324639) and next prime (13670324641).

It is a super-2 number, since 2×13670324640² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13670324595 and 13670324604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13670324641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2446650 + ... + 2452230.

It is an arithmetic number, because the mean of its divisors is an integer number (144183060).

Almost surely, 2^13670324640 is an apocalyptic number.

13670324640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13670324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27683147520).

13670324640 is an abundant number, since it is smaller than the sum of its proper divisors (41695970400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13670324640 is an frugal number, since it uses more digits than its factorization.

13670324640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13670324640 in words is "thirteen billion, six hundred seventy million, three hundred twenty-four thousand, six hundred forty".