7687638720 has 140 divisors (see below), whose sum is σ = 27346375584. Its totient is φ = 2050030080.

The previous prime is 7687638709. The next prime is 7687638727. The reversal of 7687638720 is 278367867.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7687638727) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 122376 + ... + 174215.

Almost surely, 2^7687638720 is an apocalyptic number.

It is an amenable number.

7687638720 is an abundant number, since it is smaller than the sum of its proper divisors (19658736864).

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

7687638720 is a wasteful number, since it uses less digits than its factorization.

7687638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296620 (or 296601 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 7687638720 is about 87679.1806531060. The cubic root of 7687638720 is about 1973.6235643647.

The spelling of 7687638720 in words is "seven billion, six hundred eighty-seven million, six hundred thirty-eight thousand, seven hundred twenty".