974344694400 has 1728 divisors, whose sum is σ = 4605483355200. Its totient is φ = 193587609600.

The previous prime is 974344694399. The next prime is 974344694431. The reversal of 974344694400 is 4496443479.

974344694400 is a `hidden beast` number, since 9 + 74 + 3 + 446 + 94 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 357032236 + ... + 357034964.

It is an arithmetic number, because the mean of its divisors is an integer number (2665210275).

Almost surely, 2^974344694400 is an apocalyptic number.

974344694400 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 974344694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302741677600).

974344694400 is an abundant number, since it is smaller than the sum of its proper divisors (3631138660800).

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

974344694400 is a wasteful number, since it uses less digits than its factorization.

974344694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 974344694400 in words is "nine hundred seventy-four billion, three hundred forty-four million, six hundred ninety-four thousand, four hundred".