18626790400 has 99 divisors (see below), whose sum is σ = 46226076591. Its totient is φ = 7441981440.

The previous prime is 18626790361. The next prime is 18626790409. The reversal of 18626790400 is 409762681.

The square root of 18626790400 is 136480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7448380416 + 11178409984 = 86304^2 + 105728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18626790409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21836374 + ... + 21837226.

Almost surely, 2^18626790400 is an apocalyptic number.

18626790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18626790400 is the 136480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18626790400

18626790400 is an abundant number, since it is smaller than the sum of its proper divisors (27599286191).

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

18626790400 is an frugal number, since it uses more digits than its factorization.

18626790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 18626790400 in words is "eighteen billion, six hundred twenty-six million, seven hundred ninety thousand, four hundred".