977907311568 has 720 divisors, whose sum is σ = 3425053282560. Its totient is φ = 258533130240.

The previous prime is 977907311527. The next prime is 977907311573. The reversal of 977907311568 is 865113709779.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 264511896 + ... + 264515592.

It is an arithmetic number, because the mean of its divisors is an integer number (4757018448).

Almost surely, 2^977907311568 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 977907311568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712526641280).

977907311568 is an abundant number, since it is smaller than the sum of its proper divisors (2447145970992).

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

977907311568 is a wasteful number, since it uses less digits than its factorization.

977907311568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

It can be divided in two parts, 9779073 and 11568, that added together give a square (9790641 = 3129²).

The spelling of 977907311568 in words is "nine hundred seventy-seven billion, nine hundred seven million, three hundred eleven thousand, five hundred sixty-eight".