172874600640 has 672 divisors, whose sum is σ = 695680786944. Its totient is φ = 38587760640.

The previous prime is 172874600617. The next prime is 172874600677. The reversal of 172874600640 is 46006478271.

172874600640 is a `hidden beast` number, since 1 + 72 + 87 + 460 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176943832 + ... + 176944808.

Almost surely, 2^172874600640 is an apocalyptic number.

172874600640 is a gapful number since it is divisible by the number (10) 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 172874600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347840393472).

172874600640 is an abundant number, since it is smaller than the sum of its proper divisors (522806186304).

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

172874600640 is a wasteful number, since it uses less digits than its factorization.

172874600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 172874600640 in words is "one hundred seventy-two billion, eight hundred seventy-four million, six hundred thousand, six hundred forty".