9752605632 has 672 divisors, whose sum is σ = 37499178240. Its totient is φ = 2455971840.

The previous prime is 9752605607. The next prime is 9752605657. The reversal of 9752605632 is 2365062579.

9752605632 is a `hidden beast` number, since 9 + 7 + 5 + 2 + 6 + 0 + 5 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (9752605607) and next prime (9752605657).

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

It is a super-2 number, since 2×9752605632² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 34461363 + ... + 34461645.

Almost surely, 2^9752605632 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 9752605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749589120).

9752605632 is an abundant number, since it is smaller than the sum of its proper divisors (27746572608).

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

9752605632 is a wasteful number, since it uses less digits than its factorization.

9752605632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 9752605632 is about 98755.2815397739. The cubic root of 9752605632 is about 2136.5196311839.

The spelling of 9752605632 in words is "nine billion, seven hundred fifty-two million, six hundred five thousand, six hundred thirty-two".