975413636736 has 512 divisors, whose sum is σ = 3281886720000. Its totient is φ = 249336299520.

The previous prime is 975413636669. The next prime is 975413636761. The reversal of 975413636736 is 637636314579.

It is a happy number.

975413636736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 975413636736.

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, 570750250 + ... + 570751958.

It is an arithmetic number, because the mean of its divisors is an integer number (6409935000).

Almost surely, 2^975413636736 is an apocalyptic number.

975413636736 is a gapful number since it is divisible by the number (96) 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 975413636736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640943360000).

975413636736 is an abundant number, since it is smaller than the sum of its proper divisors (2306473083264).

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

975413636736 is a wasteful number, since it uses less digits than its factorization.

975413636736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2028 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 60.

The spelling of 975413636736 in words is "nine hundred seventy-five billion, four hundred thirteen million, six hundred thirty-six thousand, seven hundred thirty-six".