6157664217600 has 2880 divisors, whose sum is σ = 26724895211520. Its totient is φ = 1220404838400.

The previous prime is 6157664217589. The next prime is 6157664217671. The reversal of 6157664217600 is 67124667516.

It is a super-2 number, since 2×6157664217600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69187238356 + ... + 69187238444.

It is an arithmetic number, because the mean of its divisors is an integer number (9279477504).

Almost surely, 2^{6157664217600} is an apocalyptic number.

6157664217600 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 6157664217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13362447605760).

6157664217600 is an abundant number, since it is smaller than the sum of its proper divisors (20567230993920).

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

6157664217600 is a wasteful number, since it uses less digits than its factorization.

6157664217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 6157664217600 in words is "six trillion, one hundred fifty-seven billion, six hundred sixty-four million, two hundred seventeen thousand, six hundred".