617247076992 has 768 divisors, whose sum is σ = 2136561131520. Its totient is φ = 154379796480.

The previous prime is 617247076973. The next prime is 617247077009. The reversal of 617247076992 is 299670742716.

617247076992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 746368483 + ... + 746369309.

It is an arithmetic number, because the mean of its divisors is an integer number (2781980640).

Almost surely, 2^617247076992 is an apocalyptic number.

617247076992 is a gapful number since it is divisible by the number (62) 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 617247076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068280565760).

617247076992 is an abundant number, since it is smaller than the sum of its proper divisors (1519314054528).

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

617247076992 is a wasteful number, since it uses less digits than its factorization.

617247076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 617247076992 in words is "six hundred seventeen billion, two hundred forty-seven million, seventy-six thousand, nine hundred ninety-two".