4764584179872 has 336 divisors, whose sum is σ = 15349675890528. Its totient is φ = 1443140375040.

The previous prime is 4764584179871. The next prime is 4764584179951. The reversal of 4764584179872 is 2789714854674.

4764584179872 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 58 + 417 + 98 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4764584179872.

It is not an unprimeable number, because it can be changed into a prime (4764584179871) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1006670818 + ... + 1006675550.

It is an arithmetic number, because the mean of its divisors is an integer number (45683559198).

Almost surely, 2^{4764584179872} 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 4764584179872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7674837945264).

4764584179872 is an abundant number, since it is smaller than the sum of its proper divisors (10585091710656).

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

4764584179872 is a wasteful number, since it uses less digits than its factorization.

4764584179872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8695 (or 8672 counting only the distinct ones).

The product of its digits is 758661120, while the sum is 72.

The spelling of 4764584179872 in words is "four trillion, seven hundred sixty-four billion, five hundred eighty-four million, one hundred seventy-nine thousand, eight hundred seventy-two".