9632700720 has 240 divisors, whose sum is σ = 33373738944. Its totient is φ = 2488320000.

The previous prime is 9632700719. The next prime is 9632700733. The reversal of 9632700720 is 270072369.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9632700720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4456440 + ... + 4458600.

Almost surely, 2^9632700720 is an apocalyptic number.

9632700720 is a gapful number since it is divisible by the number (90) 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 9632700720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686869472).

9632700720 is an abundant number, since it is smaller than the sum of its proper divisors (23741038224).

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

9632700720 is a wasteful number, since it uses less digits than its factorization.

9632700720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 9632700720 is about 98146.3230080475. The cubic root of 9632700720 is about 2127.7275771546.

The spelling of 9632700720 in words is "nine billion, six hundred thirty-two million, seven hundred thousand, seven hundred twenty".