7926742656 has 384 divisors, whose sum is σ = 27669058560. Its totient is φ = 2130001920.

The previous prime is 7926742633. The next prime is 7926742721. The reversal of 7926742656 is 6562476297.

It is a tau number, because it is divible by the number of its divisors (384).

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, 9248980 + ... + 9249836.

It is an arithmetic number, because the mean of its divisors is an integer number (72054840).

Almost surely, 2^7926742656 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 7926742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13834529280).

7926742656 is an abundant number, since it is smaller than the sum of its proper divisors (19742315904).

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

7926742656 is a wasteful number, since it uses less digits than its factorization.

7926742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 937 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 7926742656 is about 89032.2562670407. The cubic root of 7926742656 is about 1993.8764917916.

The spelling of 7926742656 in words is "seven billion, nine hundred twenty-six million, seven hundred forty-two thousand, six hundred fifty-six".