977962597920 has 2016 divisors, whose sum is σ = 4589380736640. Its totient is φ = 192148070400.

The previous prime is 977962597891. The next prime is 977962597943. The reversal of 977962597920 is 29795269779.

977962597920 is a `hidden beast` number, since 9 + 7 + 7 + 9 + 6 + 2 + 597 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1877087260 + ... + 1877087780.

It is an arithmetic number, because the mean of its divisors is an integer number (2276478540).

Almost surely, 2^977962597920 is an apocalyptic number.

977962597920 is a gapful number since it is divisible by the number (90) 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 977962597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294690368320).

977962597920 is an abundant number, since it is smaller than the sum of its proper divisors (3611418138720).

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

977962597920 is a wasteful number, since it uses less digits than its factorization.

977962597920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 270050760, while the sum is 72.

The spelling of 977962597920 in words is "nine hundred seventy-seven billion, nine hundred sixty-two million, five hundred ninety-seven thousand, nine hundred twenty".