178172828064 has 720 divisors, whose sum is σ = 694215023040. Its totient is φ = 43542282240.

The previous prime is 178172828039. The next prime is 178172828101. The reversal of 178172828064 is 460828271871.

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 178172828064.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57678232 + ... + 57681320.

It is an arithmetic number, because the mean of its divisors is an integer number (964187532).

Almost surely, 2^178172828064 is an apocalyptic number.

178172828064 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 178172828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347107511520).

178172828064 is an abundant number, since it is smaller than the sum of its proper divisors (516042194976).

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

178172828064 is a wasteful number, since it uses less digits than its factorization.

178172828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 178172828064 in words is "one hundred seventy-eight billion, one hundred seventy-two million, eight hundred twenty-eight thousand, sixty-four".