9925140624 has 160 divisors (see below), whose sum is σ = 29686314240. Its totient is φ = 2798862336.

The previous prime is 9925140601. The next prime is 9925140629. The reversal of 9925140624 is 4260415299.

It is a Cunningham number, because it is equal to 99625²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9925140629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16736872 + ... + 16737464.

It is an arithmetic number, because the mean of its divisors is an integer number (185539464).

Almost surely, 2^9925140624 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 9925140624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843157120).

9925140624 is an abundant number, since it is smaller than the sum of its proper divisors (19761173616).

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

9925140624 is a wasteful number, since it uses less digits than its factorization.

9925140624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 9925140624 is about 99624.9999949812. Note that the first 5 decimals coincide. The cubic root of 9925140624 is about 2149.0452313076.

The spelling of 9925140624 in words is "nine billion, nine hundred twenty-five million, one hundred forty thousand, six hundred twenty-four".