7956746688 has 224 divisors, whose sum is σ = 24164739072. Its totient is φ = 2288332800.

The previous prime is 7956746683. The next prime is 7956746689. The reversal of 7956746688 is 8866476597.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7956746683) 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 31 ways as a sum of consecutive naturals, for example, 3468870 + ... + 3471162.

Almost surely, 2^7956746688 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 7956746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082369536).

7956746688 is an abundant number, since it is smaller than the sum of its proper divisors (16207992384).

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

7956746688 is a wasteful number, since it uses less digits than its factorization.

7956746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2393 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 66.

The square root of 7956746688 is about 89200.5980249012. The cubic root of 7956746688 is about 1996.3890417472.

The spelling of 7956746688 in words is "seven billion, nine hundred fifty-six million, seven hundred forty-six thousand, six hundred eighty-eight".