975764213760 has 832 divisors, whose sum is σ = 3714022195200. Its totient is φ = 214035333120.

The previous prime is 975764213687. The next prime is 975764213761. The reversal of 975764213760 is 67312467579.

It is a self number, because there is not a number n which added to its sum of digits gives 975764213760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975764213761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2173194016 + ... + 2173194464.

Almost surely, 2^975764213760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975764213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857011097600).

975764213760 is an abundant number, since it is smaller than the sum of its proper divisors (2738257981440).

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

975764213760 is a wasteful number, since it uses less digits than its factorization.

975764213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 57.

The spelling of 975764213760 in words is "nine hundred seventy-five billion, seven hundred sixty-four million, two hundred thirteen thousand, seven hundred sixty".