73167680400 has 120 divisors (see below), whose sum is σ = 248167625184. Its totient is φ = 18363648000.

The previous prime is 73167680381. The next prime is 73167680401. The reversal of 73167680400 is 408676137.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (73167680401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1772926 + ... + 1813725.

Almost surely, 2^73167680400 is an apocalyptic number.

It is an amenable number.

73167680400 is an abundant number, since it is smaller than the sum of its proper divisors (174999944784).

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

73167680400 is a wasteful number, since it uses less digits than its factorization.

73167680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586689 (or 3586678 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 73167680400 in words is "seventy-three billion, one hundred sixty-seven million, six hundred eighty thousand, four hundred".