9625112064 has 400 divisors, whose sum is σ = 30480325920. Its totient is φ = 3019161600.

The previous prime is 9625112051. The next prime is 9625112099. The reversal of 9625112064 is 4602115269.

9625112064 is a `hidden beast` number, since 9 + 62 + 511 + 20 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63742389 + ... + 63742539.

Almost surely, 2^9625112064 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 9625112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240162960).

9625112064 is an abundant number, since it is smaller than the sum of its proper divisors (20855213856).

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

9625112064 is a wasteful number, since it uses less digits than its factorization.

9625112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9625112064 is about 98107.6554811091. The cubic root of 9625112064 is about 2127.1686880443.

The spelling of 9625112064 in words is "nine billion, six hundred twenty-five million, one hundred twelve thousand, sixty-four".