7686508032 has 240 divisors, whose sum is σ = 26174134272. Its totient is φ = 2125025280.

The previous prime is 7686508013. The next prime is 7686508091. The reversal of 7686508032 is 2308056867.

It is a super-4 number, since 4×7686508032⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 996093 + ... + 1003779.

Almost surely, 2^7686508032 is an apocalyptic number.

7686508032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7686508032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13087067136).

7686508032 is an abundant number, since it is smaller than the sum of its proper divisors (18487626240).

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

7686508032 is a wasteful number, since it uses less digits than its factorization.

7686508032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7749 (or 7730 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7686508032 is about 87672.7325455298. The cubic root of 7686508032 is about 1973.5268002834.

The spelling of 7686508032 in words is "seven billion, six hundred eighty-six million, five hundred eight thousand, thirty-two".