4672575084996 has 729 divisors, whose sum is σ = 15434996965479. Its totient is φ = 1187815539456.

The previous prime is 4672575084917. The next prime is 4672575085043. The reversal of 4672575084996 is 6994805752764.

The square root of 4672575084996 is 2161614.

It is a perfect power (a square), and thus also a powerful number.

4672575084996 is a `hidden beast` number, since 4 + 6 + 7 + 2 + 575 + 0 + 8 + 49 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19408390596 + 4653166694400 = 139314^2 + 2157120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 43668925975 + ... + 43668926081.

Almost surely, 2^{4672575084996} is an apocalyptic number.

4672575084996 is the 2161614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672575084996

4672575084996 is an abundant number, since it is smaller than the sum of its proper divisors (10762421880483).

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

4672575084996 is a wasteful number, since it uses less digits than its factorization.

4672575084996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 4672575084996 in words is "four trillion, six hundred seventy-two billion, five hundred seventy-five million, eighty-four thousand, nine hundred ninety-six".