977349784320 has 1440 divisors, whose sum is σ = 4367781411840. Its totient is φ = 203166351360.

The previous prime is 977349784283. The next prime is 977349784373. The reversal of 977349784320 is 23487943779.

977349784320 is a `hidden beast` number, since 97 + 7 + 3 + 49 + 78 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 669875751 + ... + 669877209.

It is an arithmetic number, because the mean of its divisors is an integer number (3033181536).

Almost surely, 2^977349784320 is an apocalyptic number.

977349784320 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 977349784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183890705920).

977349784320 is an abundant number, since it is smaller than the sum of its proper divisors (3390431627520).

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

977349784320 is a wasteful number, since it uses less digits than its factorization.

977349784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 977349784320 in words is "nine hundred seventy-seven billion, three hundred forty-nine million, seven hundred eighty-four thousand, three hundred twenty".