166972733400 has 192 divisors, whose sum is σ = 594391420800. Its totient is φ = 38347776000.

The previous prime is 166972733371. The next prime is 166972733401. The reversal of 166972733400 is 4337279661.

It is a self number, because there is not a number n which added to its sum of digits gives 166972733400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166972733401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540361 + ... + 791160.

It is an arithmetic number, because the mean of its divisors is an integer number (3095788650).

Almost surely, 2^166972733400 is an apocalyptic number.

166972733400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166972733400 is an abundant number, since it is smaller than the sum of its proper divisors (427418687400).

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

166972733400 is a wasteful number, since it uses less digits than its factorization.

166972733400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331570 (or 1331561 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 166972733400 in words is "one hundred sixty-six billion, nine hundred seventy-two million, seven hundred thirty-three thousand, four hundred".