975944784240 has 1120 divisors, whose sum is σ = 3836184468480. Its totient is φ = 229341487104.

The previous prime is 975944784181. The next prime is 975944784281. The reversal of 975944784240 is 42487449579.

975944784240 is a `hidden beast` number, since 9 + 75 + 9 + 447 + 84 + 2 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1940247829 + ... + 1940248331.

It is an arithmetic number, because the mean of its divisors is an integer number (3425164704).

Almost surely, 2^975944784240 is an apocalyptic number.

975944784240 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 975944784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918092234240).

975944784240 is an abundant number, since it is smaller than the sum of its proper divisors (2860239684240).

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

975944784240 is a wasteful number, since it uses less digits than its factorization.

975944784240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 975944784240 in words is "nine hundred seventy-five billion, nine hundred forty-four million, seven hundred eighty-four thousand, two hundred forty".