977977344000 has 576 divisors, whose sum is σ = 3303605777472. Its totient is φ = 256901120000.

The previous prime is 977977343989. The next prime is 977977344017. The reversal of 977977344000 is 443779779.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4964351902 + ... + 4964352098.

It is an arithmetic number, because the mean of its divisors is an integer number (5735426697).

Almost surely, 2^977977344000 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 977977344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651802888736).

977977344000 is an abundant number, since it is smaller than the sum of its proper divisors (2325628433472).

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

977977344000 is an equidigital number, since it uses as much as digits as its factorization.

977977344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 9335088, while the sum is 57.

The spelling of 977977344000 in words is "nine hundred seventy-seven billion, nine hundred seventy-seven million, three hundred forty-four thousand".