6157649664 has 108 divisors (see below), whose sum is σ = 17819076912. Its totient is φ = 2045030400.

The previous prime is 6157649653. The next prime is 6157649669. The reversal of 6157649664 is 4669467516.

6157649664 is a `hidden beast` number, since 6 + 1 + 576 + 4 + 9 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6157649664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6157649669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642669 + ... + 652179.

Almost surely, 2^6157649664 is an apocalyptic number.

6157649664 is a gapful number since it is divisible by the number (64) 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 6157649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8909538456).

6157649664 is an abundant number, since it is smaller than the sum of its proper divisors (11661427248).

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

6157649664 is a wasteful number, since it uses less digits than its factorization.

6157649664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9814 (or 9797 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 6157649664 is about 78470.6930261228. The cubic root of 6157649664 is about 1832.8981186504.

The spelling of 6157649664 in words is "six billion, one hundred fifty-seven million, six hundred forty-nine thousand, six hundred sixty-four".