6413854320 has 320 divisors, whose sum is σ = 23452070400. Its totient is φ = 1606625280.

The previous prime is 6413854309. The next prime is 6413854357. The reversal of 6413854320 is 234583146.

6413854320 is a `hidden beast` number, since 64 + 1 + 38 + 543 + 20 = 666.

It is a super-2 number, since 2×6413854320² = 82275054476365324800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5375644 + ... + 5376836.

It is an arithmetic number, because the mean of its divisors is an integer number (73287720).

Almost surely, 2^6413854320 is an apocalyptic number.

6413854320 is a gapful number since it is divisible by the number (60) 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 6413854320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726035200).

6413854320 is an abundant number, since it is smaller than the sum of its proper divisors (17038216080).

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

6413854320 is a wasteful number, since it uses less digits than its factorization.

6413854320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6413854320 is about 80086.5426897678. The cubic root of 6413854320 is about 1857.9742774206.

The spelling of 6413854320 in words is "six billion, four hundred thirteen million, eight hundred fifty-four thousand, three hundred twenty".