6958080976 has 80 divisors (see below), whose sum is σ = 16893740160. Its totient is φ = 2697085440.

The previous prime is 6958080967. The next prime is 6958081027. The reversal of 6958080976 is 6790808596.

It is a super-2 number, since 2×6958080976² = 96829781737146225152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6958080976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228370 + ... + 257038.

It is an arithmetic number, because the mean of its divisors is an integer number (211171752).

Almost surely, 2^6958080976 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 6958080976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446870080).

6958080976 is an abundant number, since it is smaller than the sum of its proper divisors (9935659184).

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

6958080976 is a wasteful number, since it uses less digits than its factorization.

6958080976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28892 (or 28886 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The square root of 6958080976 is about 83415.1123957763. The cubic root of 6958080976 is about 1909.1050489612.

The spelling of 6958080976 in words is "six billion, nine hundred fifty-eight million, eighty thousand, nine hundred seventy-six".