66221858304 has 360 divisors, whose sum is σ = 224483821848. Its totient is φ = 18736865280.

The previous prime is 66221858273. The next prime is 66221858347. The reversal of 66221858304 is 40385812266.

66221858304 is a `hidden beast` number, since 6 + 62 + 2 + 1 + 8 + 583 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 66221858304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24158374 + ... + 24161114.

Almost surely, 2^66221858304 is an apocalyptic number.

66221858304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66221858304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112241910924).

66221858304 is an abundant number, since it is smaller than the sum of its proper divisors (158261963544).

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

66221858304 is a wasteful number, since it uses less digits than its factorization.

66221858304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 66221858304 in words is "sixty-six billion, two hundred twenty-one million, eight hundred fifty-eight thousand, three hundred four".