6157582913664 has 1920 divisors, whose sum is σ = 23590479052800. Its totient is φ = 1560242331648.

The previous prime is 6157582913641. The next prime is 6157582913719. The reversal of 6157582913664 is 4663192857516.

It is a happy number.

6157582913664 is a `hidden beast` number, since 6 + 1 + 575 + 8 + 29 + 1 + 36 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48484904769 + ... + 48484904895.

It is an arithmetic number, because the mean of its divisors is an integer number (12286707840).

Almost surely, 2^{6157582913664} is an apocalyptic number.

6157582913664 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 6157582913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795239526400).

6157582913664 is an abundant number, since it is smaller than the sum of its proper divisors (17432896139136).

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

6157582913664 is a wasteful number, since it uses less digits than its factorization.

6157582913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 278 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 6157582913664 in words is "six trillion, one hundred fifty-seven billion, five hundred eighty-two million, nine hundred thirteen thousand, six hundred sixty-four".