8642928172032 has 352 divisors, whose sum is σ = 31912118192640. Its totient is φ = 2244915855360.

The previous prime is 8642928172007. The next prime is 8642928172097. The reversal of 8642928172032 is 2302718292468.

8642928172032 is a `hidden beast` number, since 8 + 6 + 429 + 2 + 8 + 1 + 7 + 203 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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 8642928172032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98988 + ... + 4158804.

Almost surely, 2^{8642928172032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8642928172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15956059096320).

8642928172032 is an abundant number, since it is smaller than the sum of its proper divisors (23269190020608).

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

8642928172032 is a wasteful number, since it uses less digits than its factorization.

8642928172032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059864 (or 4059840 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 8642928172032 in words is "eight trillion, six hundred forty-two billion, nine hundred twenty-eight million, one hundred seventy-two thousand, thirty-two".