7942910976 has 1056 divisors, whose sum is σ = 32931480960. Its totient is φ = 1857945600.

The previous prime is 7942910971. The next prime is 7942910977. The reversal of 7942910976 is 6790192497.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×7942910976² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7942910971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193729516 + ... + 193729556.

Almost surely, 2^7942910976 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 7942910976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465740480).

7942910976 is an abundant number, since it is smaller than the sum of its proper divisors (24988569984).

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

7942910976 is a wasteful number, since it uses less digits than its factorization.

7942910976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 7942910976 is about 89123.0103620833. The cubic root of 7942910976 is about 1995.2312197381.

The spelling of 7942910976 in words is "seven billion, nine hundred forty-two million, nine hundred ten thousand, nine hundred seventy-six".