617660970528000 has 1152 divisors, whose sum is σ = 2453449101143040. Its totient is φ = 134771923353600.

The previous prime is 617660970527999. The next prime is 617660970528143. The reversal of 617660970528000 is 825079066716.

It is a congruent number.

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, 1317557646 + ... + 1318026354.

It is an arithmetic number, because the mean of its divisors is an integer number (2129730122520).

Almost surely, 2^{617660970528000} is an apocalyptic number.

617660970528000 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 617660970528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226724550571520).

617660970528000 is an abundant number, since it is smaller than the sum of its proper divisors (1835788130615040).

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

617660970528000 is a wasteful number, since it uses less digits than its factorization.

617660970528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468840 (or 468816 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 617660970528000 in words is "six hundred seventeen trillion, six hundred sixty billion, nine hundred seventy million, five hundred twenty-eight thousand".