10004580432 has 320 divisors, whose sum is σ = 36345292800. Its totient is φ = 2559807360.

The previous prime is 10004580367. The next prime is 10004580451. The reversal of 10004580432 is 23408540001.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10004580396 and 10004580405.

It is a congruent number.

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, 149322063 + ... + 149322129.

It is an arithmetic number, because the mean of its divisors is an integer number (113579040).

Almost surely, 2^10004580432 is an apocalyptic number.

10004580432 is a gapful number since it is divisible by the number (12) 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 10004580432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172646400).

10004580432 is an abundant number, since it is smaller than the sum of its proper divisors (26340712368).

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

10004580432 is an frugal number, since it uses more digits than its factorization.

10004580432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10004580432 in words is "ten billion, four million, five hundred eighty thousand, four hundred thirty-two".