7879643136 has 312 divisors, whose sum is σ = 24035342760. Its totient is φ = 2484338688.

The previous prime is 7879643131. The next prime is 7879643207. The reversal of 7879643136 is 6313469787.

It can be written as a sum of positive squares in 4 ways, for example, as 4337012736 + 3542630400 = 65856^2 + 59520^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7879643131) 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 23 ways as a sum of consecutive naturals, for example, 72290250 + ... + 72290358.

It is an arithmetic number, because the mean of its divisors is an integer number (77036355).

Almost surely, 2^7879643136 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 7879643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12017671380).

7879643136 is an abundant number, since it is smaller than the sum of its proper divisors (16155699624).

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

7879643136 is a wasteful number, since it uses less digits than its factorization.

7879643136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 7879643136 is about 88767.3539990914. The cubic root of 7879643136 is about 1989.9195388459.

The spelling of 7879643136 in words is "seven billion, eight hundred seventy-nine million, six hundred forty-three thousand, one hundred thirty-six".