66872162400 has 72 divisors (see below), whose sum is σ = 217668896424. Its totient is φ = 17832576000.

The previous prime is 66872162347. The next prime is 66872162411. The reversal of 66872162400 is 426127866.

It is a super-2 number, since 2×66872162400² (a number of 22 digits) contains 22 as substring.

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, 13929301 + ... + 13934100.

It is an arithmetic number, because the mean of its divisors is an integer number (3023179117).

Almost surely, 2^66872162400 is an apocalyptic number.

66872162400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66872162400 is an abundant number, since it is smaller than the sum of its proper divisors (150796734024).

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

66872162400 is a wasteful number, since it uses less digits than its factorization.

66872162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27863424 (or 27863411 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 66872162400 in words is "sixty-six billion, eight hundred seventy-two million, one hundred sixty-two thousand, four hundred".