974577581568 has 320 divisors, whose sum is σ = 2955888936000. Its totient is φ = 316925706240.

The previous prime is 974577581507. The next prime is 974577581573. The reversal of 974577581568 is 865185775479.

974577581568 is a `hidden beast` number, since 9 + 7 + 4 + 5 + 7 + 7 + 58 + 1 + 568 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 974577581496 and 974577581505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132609958 + ... + 132617306.

It is an arithmetic number, because the mean of its divisors is an integer number (9237152925).

Almost surely, 2^974577581568 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 974577581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477944468000).

974577581568 is an abundant number, since it is smaller than the sum of its proper divisors (1981311354432).

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

974577581568 is a wasteful number, since it uses less digits than its factorization.

974577581568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7588 counting only the distinct ones).

The product of its digits is 592704000, while the sum is 72.

The spelling of 974577581568 in words is "nine hundred seventy-four billion, five hundred seventy-seven million, five hundred eighty-one thousand, five hundred sixty-eight".