6357216127536 has 640 divisors, whose sum is σ = 19151824204800. Its totient is φ = 2017977753600.

The previous prime is 6357216127469. The next prime is 6357216127601.

6357216127536 is a `hidden beast` number, since 6 + 3 + 5 + 7 + 21 + 61 + 27 + 536 = 666.

6357216127536 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36746913946 + ... + 36746914118.

It is an arithmetic number, because the mean of its divisors is an integer number (29924725320).

Almost surely, 2^{6357216127536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6357216127536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575912102400).

6357216127536 is an abundant number, since it is smaller than the sum of its proper divisors (12794608077264).

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

6357216127536 is a wasteful number, since it uses less digits than its factorization.

6357216127536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 6357216127536 in words is "six trillion, three hundred fifty-seven billion, two hundred sixteen million, one hundred twenty-seven thousand, five hundred thirty-six".