9923432904 has 256 divisors, whose sum is σ = 34726809600. Its totient is φ = 2550528000.

The previous prime is 9923432873. The next prime is 9923432977. The reversal of 9923432904 is 4092343299.

It is a happy number.

9923432904 is a `hidden beast` number, since 99 + 234 + 329 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9923432904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1610229 + ... + 1616379.

It is an arithmetic number, because the mean of its divisors is an integer number (135651600).

Almost surely, 2^9923432904 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 9923432904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17363404800).

9923432904 is an abundant number, since it is smaller than the sum of its proper divisors (24803376696).

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

9923432904 is a wasteful number, since it uses less digits than its factorization.

9923432904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6281 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 9923432904 is about 99616.4288860025. The cubic root of 9923432904 is about 2148.9219693084.

The spelling of 9923432904 in words is "nine billion, nine hundred twenty-three million, four hundred thirty-two thousand, nine hundred four".