47930415264 has 144 divisors (see below), whose sum is σ = 144510224040. Its totient is φ = 15017164800.

The previous prime is 47930415259. The next prime is 47930415283. The reversal of 47930415264 is 46251403974.

47930415264 is a `hidden beast` number, since 4 + 79 + 304 + 15 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42151374864 + 5779040400 = 205308^2 + 76020^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3954814 + ... + 3966914.

Almost surely, 2^47930415264 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 47930415264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72255112020).

47930415264 is an abundant number, since it is smaller than the sum of its proper divisors (96579808776).

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

47930415264 is a wasteful number, since it uses less digits than its factorization.

47930415264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12943 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 47930415264 in words is "forty-seven billion, nine hundred thirty million, four hundred fifteen thousand, two hundred sixty-four".