7932564684648 has 32 divisors (see below), whose sum is σ = 22034901902400. Its totient is φ = 2644188228144.

The previous prime is 7932564684647. The next prime is 7932564684679. The reversal of 7932564684648 is 8464864652397.

7932564684648 is a `hidden beast` number, since 7 + 9 + 32 + 56 + 468 + 46 + 48 = 666.

It is a super-2 number, since 2×7932564684648² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7932564684647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18362418036 + ... + 18362418467.

It is an arithmetic number, because the mean of its divisors is an integer number (688590684450).

Almost surely, 2^{7932564684648} is an apocalyptic number.

It is an amenable number.

7932564684648 is an abundant number, since it is smaller than the sum of its proper divisors (14102337217752).

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

7932564684648 is a wasteful number, since it uses less digits than its factorization.

7932564684648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36724836518 (or 36724836508 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 7932564684648 in words is "seven trillion, nine hundred thirty-two billion, five hundred sixty-four million, six hundred eighty-four thousand, six hundred forty-eight".