7967760564 has 48 divisors (see below), whose sum is σ = 18850019328. Its totient is φ = 2619205728.

The previous prime is 7967760529. The next prime is 7967760571. The reversal of 7967760564 is 4650677697.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272419 + ... + 300245.

It is an arithmetic number, because the mean of its divisors is an integer number (392708736).

Almost surely, 2^7967760564 is an apocalyptic number.

It is an amenable number.

7967760564 is an abundant number, since it is smaller than the sum of its proper divisors (10882258764).

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

7967760564 is a wasteful number, since it uses less digits than its factorization.

7967760564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28164 (or 28162 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 57.

The square root of 7967760564 is about 89262.3132346457. The cubic root of 7967760564 is about 1997.3097632690.

The spelling of 7967760564 in words is "seven billion, nine hundred sixty-seven million, seven hundred sixty thousand, five hundred sixty-four".