66612405664200 has 96 divisors (see below), whose sum is σ = 225271044632160. Its totient is φ = 16148461977600.

The previous prime is 66612405664199. The next prime is 66612405664291. The reversal of 66612405664200 is 246650421666.

It is a self number, because there is not a number n which added to its sum of digits gives 66612405664200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5046387769 + ... + 5046400968.

It is an arithmetic number, because the mean of its divisors is an integer number (2346573381585).

Almost surely, 2^{66612405664200} is an apocalyptic number.

66612405664200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66612405664200 is an abundant number, since it is smaller than the sum of its proper divisors (158658638967960).

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

66612405664200 is a wasteful number, since it uses less digits than its factorization.

66612405664200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10092788767 (or 10092788758 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 66612405664200 in words is "sixty-six trillion, six hundred twelve billion, four hundred five million, six hundred sixty-four thousand, two hundred".