9532639872 has 640 divisors, whose sum is σ = 35386982400. Its totient is φ = 2485831680.

The previous prime is 9532639867. The next prime is 9532639913. The reversal of 9532639872 is 2789362359.

It is a happy number.

9532639872 is a `hidden beast` number, since 9 + 532 + 6 + 39 + 8 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42747153 + ... + 42747375.

It is an arithmetic number, because the mean of its divisors is an integer number (55292160).

Almost surely, 2^9532639872 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 9532639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693491200).

9532639872 is an abundant number, since it is smaller than the sum of its proper divisors (25854342528).

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

9532639872 is a wasteful number, since it uses less digits than its factorization.

9532639872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 9532639872 is about 97635.2388843291. The cubic root of 9532639872 is about 2120.3345763629.

The spelling of 9532639872 in words is "nine billion, five hundred thirty-two million, six hundred thirty-nine thousand, eight hundred seventy-two".