7924882656 has 192 divisors, whose sum is σ = 22900340736. Its totient is φ = 2391275520.

The previous prime is 7924882643. The next prime is 7924882657. The reversal of 7924882656 is 6562884297.

It is a happy number.

It is a super-2 number, since 2×7924882656² (a number of 21 digits) contains 22 as substring.

Its product of digits (11612160) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 7924882596 and 7924882605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7924882657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48618831 + ... + 48618993.

It is an arithmetic number, because the mean of its divisors is an integer number (119272608).

Almost surely, 2^7924882656 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 7924882656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450170368).

7924882656 is an abundant number, since it is smaller than the sum of its proper divisors (14975458080).

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

7924882656 is a wasteful number, since it uses less digits than its factorization.

7924882656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 216 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The square root of 7924882656 is about 89021.8100018192. The cubic root of 7924882656 is about 1993.7205260712.

The spelling of 7924882656 in words is "seven billion, nine hundred twenty-four million, eight hundred eighty-two thousand, six hundred fifty-six".