7936039680 has 288 divisors, whose sum is σ = 26388203520. Its totient is φ = 2030469120.

The previous prime is 7936039667. The next prime is 7936039691. The reversal of 7936039680 is 869306397.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 19403316 + ... + 19403724.

Almost surely, 2^7936039680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7936039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194101760).

7936039680 is an abundant number, since it is smaller than the sum of its proper divisors (18452163840).

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

7936039680 is a wasteful number, since it uses less digits than its factorization.

7936039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 7936039680 is about 89084.4525155765. The cubic root of 7936039680 is about 1994.6557053106.

The spelling of 7936039680 in words is "seven billion, nine hundred thirty-six million, thirty-nine thousand, six hundred eighty".