7947365904 has 405 divisors, whose sum is σ = 26067148653. Its totient is φ = 2259366912.

The previous prime is 7947365849. The next prime is 7947365911. The reversal of 7947365904 is 4095637497.

It is a happy number.

The square root of 7947365904 is 89148.

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

7947365904 is a `hidden beast` number, since 7 + 9 + 47 + 3 + 6 + 590 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6187395600 + 1759970304 = 78660^2 + 41952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 345537637 + ... + 345537659.

Almost surely, 2^7947365904 is an apocalyptic number.

7947365904 is the 89148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7947365904

7947365904 is an abundant number, since it is smaller than the sum of its proper divisors (18119782749).

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

7947365904 is a wasteful number, since it uses less digits than its factorization.

7947365904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The cubic root of 7947365904 is about 1995.6041707545.

The spelling of 7947365904 in words is "seven billion, nine hundred forty-seven million, three hundred sixty-five thousand, nine hundred four".