975494983680 has 832 divisors, whose sum is σ = 3992070604800. Its totient is φ = 221360947200.

The previous prime is 975494983663. The next prime is 975494983681. The reversal of 975494983680 is 86389494579.

975494983680 is a `hidden beast` number, since 9 + 7 + 54 + 9 + 498 + 3 + 6 + 80 = 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 = 975494983599 and 975494983608.

It is not an unprimeable number, because it can be changed into a prime (975494983681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584477886 + ... + 584479554.

Almost surely, 2^975494983680 is an apocalyptic number.

975494983680 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 975494983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996035302400).

975494983680 is an abundant number, since it is smaller than the sum of its proper divisors (3016575621120).

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

975494983680 is a wasteful number, since it uses less digits than its factorization.

975494983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 975494983680 in words is "nine hundred seventy-five billion, four hundred ninety-four million, nine hundred eighty-three thousand, six hundred eighty".