73041564400 has 60 divisors (see below), whose sum is σ = 200551274512. Its totient is φ = 25042821120.

The previous prime is 73041564383. The next prime is 73041564457. The reversal of 73041564400 is 446514037.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13040337 + ... + 13045936.

Almost surely, 2^73041564400 is an apocalyptic number.

73041564400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73041564400 is an abundant number, since it is smaller than the sum of its proper divisors (127509710112).

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

73041564400 is a wasteful number, since it uses less digits than its factorization.

73041564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26086298 (or 26086287 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 73041564400 in words is "seventy-three billion, forty-one million, five hundred sixty-four thousand, four hundred".