172475309664 has 384 divisors, whose sum is σ = 581116032000. Its totient is φ = 48750833664.

The previous prime is 172475309641. The next prime is 172475309681. The reversal of 172475309664 is 466903574271.

172475309664 is a `hidden beast` number, since 1 + 7 + 2 + 47 + 530 + 9 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 172475309664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338851042 + ... + 338851550.

It is an arithmetic number, because the mean of its divisors is an integer number (1513323000).

Almost surely, 2^172475309664 is an apocalyptic number.

172475309664 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 172475309664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290558016000).

172475309664 is an abundant number, since it is smaller than the sum of its proper divisors (408640722336).

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

172475309664 is a wasteful number, since it uses less digits than its factorization.

172475309664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 172475309664 in words is "one hundred seventy-two billion, four hundred seventy-five million, three hundred nine thousand, six hundred sixty-four".