172376714664 has 576 divisors, whose sum is σ = 621183738240. Its totient is φ = 42620497920.

The previous prime is 172376714651. The next prime is 172376714669. The reversal of 172376714664 is 466417673271.

It is a happy number.

172376714664 is a `hidden beast` number, since 1 + 72 + 376 + 7 + 146 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 172376714664.

It is not an unprimeable number, because it can be changed into a prime (172376714669) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 279378484 + ... + 279379100.

It is an arithmetic number, because the mean of its divisors is an integer number (1078443990).

Almost surely, 2^172376714664 is an apocalyptic number.

172376714664 is a gapful number since it is divisible by the number (14) 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 172376714664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310591869120).

172376714664 is an abundant number, since it is smaller than the sum of its proper divisors (448807023576).

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

172376714664 is a wasteful number, since it uses less digits than its factorization.

172376714664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 976 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 172376714664 in words is "one hundred seventy-two billion, three hundred seventy-six million, seven hundred fourteen thousand, six hundred sixty-four".