7647152704 has 63 divisors (see below), whose sum is σ = 16145071977. Its totient is φ = 3593063424.

The previous prime is 7647152671. The next prime is 7647152749. The reversal of 7647152704 is 4072517467.

The square root of 7647152704 is 87448.

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

It can be written as a sum of positive squares in only one way, i.e., 5953665600 + 1693487104 = 77160^2 + 41152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11892607 + ... + 11893249.

Almost surely, 2^7647152704 is an apocalyptic number.

7647152704 is the 87448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7647152704

7647152704 is an abundant number, since it is smaller than the sum of its proper divisors (8497919273).

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

7647152704 is an frugal number, since it uses more digits than its factorization.

7647152704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

The cubic root of 7647152704 is about 1970.1528482159.

The spelling of 7647152704 in words is "seven billion, six hundred forty-seven million, one hundred fifty-two thousand, seven hundred four".