974727806976 has 1152 divisors, whose sum is σ = 3724527744000. Its totient is φ = 249707888640.

The previous prime is 974727806963. The next prime is 974727807071. The reversal of 974727806976 is 679608727479.

974727806976 is a `hidden beast` number, since 9 + 7 + 472 + 7 + 80 + 6 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13352435676 + ... + 13352435748.

It is an arithmetic number, because the mean of its divisors is an integer number (3233097000).

Almost surely, 2^974727806976 is an apocalyptic number.

974727806976 is a gapful number since it is divisible by the number (96) 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 974727806976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862263872000).

974727806976 is an abundant number, since it is smaller than the sum of its proper divisors (2749799937024).

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

974727806976 is an frugal number, since it uses more digits than its factorization.

974727806976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 974727806976 in words is "nine hundred seventy-four billion, seven hundred twenty-seven million, eight hundred six thousand, nine hundred seventy-six".