7688459664 has 60 divisors (see below), whose sum is σ = 21524109100. Its totient is φ = 2561974272.

The previous prime is 7688459657. The next prime is 7688459677. The reversal of 7688459664 is 4669548867.

It can be written as a sum of positive squares in 2 ways, for example, as 4223960064 + 3464499600 = 64992^2 + 58860^2 .

It is a super-2 number, since 2×7688459664² (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 553152 + ... + 566880.

Almost surely, 2^7688459664 is an apocalyptic number.

It is an amenable number.

7688459664 is an abundant number, since it is smaller than the sum of its proper divisors (13835649436).

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

7688459664 is a wasteful number, since it uses less digits than its factorization.

7688459664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17632 (or 17623 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The square root of 7688459664 is about 87683.8620499804. The cubic root of 7688459664 is about 1973.6938146636.

The spelling of 7688459664 in words is "seven billion, six hundred eighty-eight million, four hundred fifty-nine thousand, six hundred sixty-four".