975626496768 has 864 divisors, whose sum is σ = 3462468629760. Its totient is φ = 240820715520.

The previous prime is 975626496749. The next prime is 975626496799. The reversal of 975626496768 is 867694626579.

It is a super-2 number, since 2×975626496768² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 975626496768.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 804308130 + ... + 804309342.

It is an arithmetic number, because the mean of its divisors is an integer number (4007486840).

Almost surely, 2^975626496768 is an apocalyptic number.

975626496768 is a gapful number since it is divisible by the number (98) 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 975626496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731234314880).

975626496768 is an abundant number, since it is smaller than the sum of its proper divisors (2486842132992).

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

975626496768 is a wasteful number, since it uses less digits than its factorization.

975626496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1332 counting only the distinct ones).

The product of its digits is 1646023680, while the sum is 75.

The spelling of 975626496768 in words is "nine hundred seventy-five billion, six hundred twenty-six million, four hundred ninety-six thousand, seven hundred sixty-eight".