9952952320 has 72 divisors (see below), whose sum is σ = 23888567304. Its totient is φ = 3980918784.

The previous prime is 9952952299. The next prime is 9952952327. The reversal of 9952952320 is 232592599.

It is a super-2 number, since 2×9952952320² (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 (9952952327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 647767 + ... + 662953.

It is an arithmetic number, because the mean of its divisors is an integer number (331785657).

Almost surely, 2^9952952320 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 9952952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11944283652).

9952952320 is an abundant number, since it is smaller than the sum of its proper divisors (13935614984).

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

9952952320 is an frugal number, since it uses more digits than its factorization.

9952952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15226 (or 15194 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 46.

The square root of 9952952320 is about 99764.4842616850. The cubic root of 9952952320 is about 2151.0506723350.

The spelling of 9952952320 in words is "nine billion, nine hundred fifty-two million, nine hundred fifty-two thousand, three hundred twenty".