9975537600 has 672 divisors, whose sum is σ = 39155827200. Its totient is φ = 2221793280.

The previous prime is 9975537587. The next prime is 9975537601. The reversal of 9975537600 is 67355799.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9975537600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975537601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120187159 + ... + 120187241.

It is an arithmetic number, because the mean of its divisors is an integer number (58267600).

Almost surely, 2^9975537600 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 9975537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19577913600).

9975537600 is an abundant number, since it is smaller than the sum of its proper divisors (29180289600).

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

9975537600 is a wasteful number, since it uses less digits than its factorization.

9975537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 51.

The square root of 9975537600 is about 99877.6131072424. The cubic root of 9975537600 is about 2152.6765008286.

The spelling of 9975537600 in words is "nine billion, nine hundred seventy-five million, five hundred thirty-seven thousand, six hundred".