974785743360 has 640 divisors, whose sum is σ = 4067897137920. Its totient is φ = 218131660800.

The previous prime is 974785743359. The next prime is 974785743391. The reversal of 974785743360 is 63347587479.

974785743360 is a `hidden beast` number, since 9 + 7 + 478 + 5 + 74 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×974785743360³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9834850 + ... + 9933470.

It is an arithmetic number, because the mean of its divisors is an integer number (6356089278).

Almost surely, 2^974785743360 is an apocalyptic number.

974785743360 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 974785743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033948568960).

974785743360 is an abundant number, since it is smaller than the sum of its proper divisors (3093111394560).

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

974785743360 is a wasteful number, since it uses less digits than its factorization.

974785743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98677 (or 98655 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 974785743360 in words is "nine hundred seventy-four billion, seven hundred eighty-five million, seven hundred forty-three thousand, three hundred sixty".