166742022600 has 144 divisors (see below), whose sum is σ = 573633480420. Its totient is φ = 43380019200.

The previous prime is 166742022599. The next prime is 166742022679. The reversal of 166742022600 is 6220247661.

166742022600 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 4 + 20 + 22 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 52304604804 + 114437417796 = 228702^2 + 338286^2 .

It is a super-4 number, since 4×166742022600⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1055889 + ... + 1203488.

Almost surely, 2^166742022600 is an apocalyptic number.

166742022600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166742022600 is an abundant number, since it is smaller than the sum of its proper divisors (406891457820).

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

166742022600 is a wasteful number, since it uses less digits than its factorization.

166742022600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259440 (or 2259428 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 166742022600 in words is "one hundred sixty-six billion, seven hundred forty-two million, twenty-two thousand, six hundred".