7956070668 has 384 divisors, whose sum is σ = 26971607040. Its totient is φ = 1970749440.

The previous prime is 7956070667. The next prime is 7956070687. The reversal of 7956070668 is 8660706597.

It is a happy number.

7956070668 is a `hidden beast` number, since 7 + 9 + 560 + 70 + 6 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7956070667) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13788396 + ... + 13788972.

It is an arithmetic number, because the mean of its divisors is an integer number (70238560).

Almost surely, 2^7956070668 is an apocalyptic number.

7956070668 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7956070668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13485803520).

7956070668 is an abundant number, since it is smaller than the sum of its proper divisors (19015536372).

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

7956070668 is a wasteful number, since it uses less digits than its factorization.

7956070668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7956070668 is about 89196.8086200398. The cubic root of 7956070668 is about 1996.3325011703.

The spelling of 7956070668 in words is "seven billion, nine hundred fifty-six million, seventy thousand, six hundred sixty-eight".