16329774960 has 280 divisors, whose sum is σ = 59924118480. Its totient is φ = 4125136896.

The previous prime is 16329774959. The next prime is 16329774961. The reversal of 16329774960 is 6947792361.

It is a happy number.

16329774960 is a `hidden beast` number, since 1 + 63 + 2 + 97 + 7 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16329774959) and next prime (16329774961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16329774897 and 16329774906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16329774961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1100712 + ... + 1115448.

Almost surely, 2^16329774960 is an apocalyptic number.

16329774960 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 16329774960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29962059240).

16329774960 is an abundant number, since it is smaller than the sum of its proper divisors (43594343520).

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

16329774960 is a wasteful number, since it uses less digits than its factorization.

16329774960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787 (or 14766 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 16329774960 in words is "sixteen billion, three hundred twenty-nine million, seven hundred seventy-four thousand, nine hundred sixty".