172968179328 has 512 divisors, whose sum is σ = 637717708800. Its totient is φ = 45008732160.

The previous prime is 172968179299. The next prime is 172968179399. The reversal of 172968179328 is 823971869271.

172968179328 is a `hidden beast` number, since 1 + 7 + 296 + 8 + 17 + 9 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

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, 12742401 + ... + 12755967.

It is an arithmetic number, because the mean of its divisors is an integer number (1245542400).

Almost surely, 2^172968179328 is an apocalyptic number.

172968179328 is a gapful number since it is divisible by the number (18) 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 172968179328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318858854400).

172968179328 is an abundant number, since it is smaller than the sum of its proper divisors (464749529472).

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

172968179328 is a wasteful number, since it uses less digits than its factorization.

172968179328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13645 (or 13627 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 172968179328 in words is "one hundred seventy-two billion, nine hundred sixty-eight million, one hundred seventy-nine thousand, three hundred twenty-eight".