7936289640 has 192 divisors, whose sum is σ = 27334616400. Its totient is φ = 1993420800.

The previous prime is 7936289623. The next prime is 7936289659. The reversal of 7936289640 is 469826397.

It is a happy number.

7936289640 is a `hidden beast` number, since 7 + 9 + 3 + 628 + 9 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1376261604 + 6560028036 = 37098^2 + 80994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418770 + ... + 437310.

Almost surely, 2^7936289640 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 7936289640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667308200).

7936289640 is an abundant number, since it is smaller than the sum of its proper divisors (19398326760).

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

7936289640 is a wasteful number, since it uses less digits than its factorization.

7936289640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18628 (or 18621 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7936289640 is about 89085.8554429377. The cubic root of 7936289640 is about 1994.6766468601.

The spelling of 7936289640 in words is "seven billion, nine hundred thirty-six million, two hundred eighty-nine thousand, six hundred forty".