10004924320 has 192 divisors, whose sum is σ = 26015502240. Its totient is φ = 3620339712.

The previous prime is 10004924309. The next prime is 10004924323. The reversal of 10004924320 is 2342940001.

It can be written as a sum of positive squares in 16 ways, for example, as 585833616 + 9419090704 = 24204^2 + 97052^2 .

It is not an unprimeable number, because it can be changed into a prime (10004924323) 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, 8956402 + ... + 8957518.

Almost surely, 2^10004924320 is an apocalyptic number.

10004924320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007751120).

10004924320 is an abundant number, since it is smaller than the sum of its proper divisors (16010577920).

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

10004924320 is a wasteful number, since it uses less digits than its factorization.

10004924320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 10004924320 in words is "ten billion, four million, nine hundred twenty-four thousand, three hundred twenty".