975966399744 has 288 divisors, whose sum is σ = 3101943527424. Its totient is φ = 266352599040.

The previous prime is 975966399691. The next prime is 975966399773. The reversal of 975966399744 is 447993669579.

It is a self number, because there is not a number n which added to its sum of digits gives 975966399744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95574799 + ... + 95585009.

It is an arithmetic number, because the mean of its divisors is an integer number (10770637248).

Almost surely, 2^975966399744 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 975966399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550971763712).

975966399744 is an abundant number, since it is smaller than the sum of its proper divisors (2125977127680).

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

975966399744 is a wasteful number, since it uses less digits than its factorization.

975966399744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11033 (or 11019 counting only the distinct ones).

The product of its digits is 2777664960, while the sum is 78.

The spelling of 975966399744 in words is "nine hundred seventy-five billion, nine hundred sixty-six million, three hundred ninety-nine thousand, seven hundred forty-four".