7656641600 has 42 divisors (see below), whose sum is σ = 18840127674. Its totient is φ = 3062656000.

The previous prime is 7656641599. The next prime is 7656641621. The reversal of 7656641600 is 61466567.

It can be written as a sum of positive squares in 3 ways, for example, as 1575137344 + 6081504256 = 39688^2 + 77984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2391101 + ... + 2394300.

Almost surely, 2^7656641600 is an apocalyptic number.

It is an amenable number.

7656641600 is an abundant number, since it is smaller than the sum of its proper divisors (11183486074).

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

7656641600 is a wasteful number, since it uses less digits than its factorization.

7656641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785423 (or 4785408 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 7656641600 is about 87502.2376856729. The cubic root of 7656641600 is about 1970.9673931497.

The spelling of 7656641600 in words is "seven billion, six hundred fifty-six million, six hundred forty-one thousand, six hundred".