537679303894656 has 768 divisors, whose sum is σ = 1977328321413120. Its totient is φ = 136180876492800.

The previous prime is 537679303894541. The next prime is 537679303894669. The reversal of 537679303894656 is 656498303976735.

537679303894656 is a `hidden beast` number, since 5 + 3 + 7 + 6 + 79 + 3 + 0 + 3 + 89 + 465 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1129584900 + ... + 1130060796.

It is an arithmetic number, because the mean of its divisors is an integer number (2574646251840).

Almost surely, 2^{537679303894656} is an apocalyptic number.

537679303894656 is a gapful number since it is divisible by the number (56) 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 537679303894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988664160706560).

537679303894656 is an abundant number, since it is smaller than the sum of its proper divisors (1439649017518464).

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

537679303894656 is a wasteful number, since it uses less digits than its factorization.

537679303894656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476253 (or 476238 counting only the distinct ones).

The product of its (nonzero) digits is 18517766400, while the sum is 81.

The spelling of 537679303894656 in words is "five hundred thirty-seven trillion, six hundred seventy-nine billion, three hundred three million, eight hundred ninety-four thousand, six hundred fifty-six".