9975536064 has 168 divisors, whose sum is σ = 30848868960. Its totient is φ = 3063785472.

The previous prime is 9975536059. The next prime is 9975536093. The reversal of 9975536064 is 4606355799.

It is a super-2 number, since 2×9975536064² (a number of 21 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 9975536064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6206749 + ... + 6208355.

It is an arithmetic number, because the mean of its divisors is an integer number (183624220).

Almost surely, 2^9975536064 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 9975536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424434480).

9975536064 is an abundant number, since it is smaller than the sum of its proper divisors (20873332896).

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

9975536064 is a wasteful number, since it uses less digits than its factorization.

9975536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 9975536064 is about 99877.6054178313. The cubic root of 9975536064 is about 2152.6763903413.

The spelling of 9975536064 in words is "nine billion, nine hundred seventy-five million, five hundred thirty-six thousand, sixty-four".