6349916160 has 768 divisors, whose sum is σ = 27455500800. Its totient is φ = 1358954496.

The previous prime is 6349916159. The next prime is 6349916171. The reversal of 6349916160 is 616199436.

6349916160 is a `hidden beast` number, since 634 + 9 + 9 + 1 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 32901024 + ... + 32901216.

It is an arithmetic number, because the mean of its divisors is an integer number (35749350).

Almost surely, 2^6349916160 is an apocalyptic number.

6349916160 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 6349916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13727750400).

6349916160 is an abundant number, since it is smaller than the sum of its proper divisors (21105584640).

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

6349916160 is a wasteful number, since it uses less digits than its factorization.

6349916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 6349916160 is about 79686.3611918627. The cubic root of 6349916160 is about 1851.7797491793.

The spelling of 6349916160 in words is "six billion, three hundred forty-nine million, nine hundred sixteen thousand, one hundred sixty".