47664495684 has 189 divisors, whose sum is σ = 135859105389. Its totient is φ = 14618841120.

The previous prime is 47664495667. The next prime is 47664495691. The reversal of 47664495684 is 48659446674.

It is a happy number.

The square root of 47664495684 is 218322.

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

47664495684 is a `hidden beast` number, since 4 + 7 + 6 + 64 + 4 + 9 + 568 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7050960900 + 40613534784 = 83970^2 + 201528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 153261889 + ... + 153262199.

Almost surely, 2^47664495684 is an apocalyptic number.

47664495684 is the 218322-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47664495684

47664495684 is an abundant number, since it is smaller than the sum of its proper divisors (88194609705).

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

47664495684 is an equidigital number, since it uses as much as digits as its factorization.

47664495684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 329 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 47664495684 in words is "forty-seven billion, six hundred sixty-four million, four hundred ninety-five thousand, six hundred eighty-four".