18604790400 has 288 divisors, whose sum is σ = 71286151680. Its totient is φ = 4252416000.

The previous prime is 18604790353. The next prime is 18604790417. The reversal of 18604790400 is 409740681.

It is a happy number.

It is a super-2 number, since 2×18604790400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 450625 + ... + 490175.

It is an arithmetic number, because the mean of its divisors is an integer number (247521360).

Almost surely, 2^18604790400 is an apocalyptic number.

18604790400 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 18604790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35643075840).

18604790400 is an abundant number, since it is smaller than the sum of its proper divisors (52681361280).

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

18604790400 is a wasteful number, since it uses less digits than its factorization.

18604790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39592 (or 39568 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 18604790400 in words is "eighteen billion, six hundred four million, seven hundred ninety thousand, four hundred".