6979932960 has 768 divisors, whose sum is σ = 30075494400. Its totient is φ = 1313832960.

The previous prime is 6979932959. The next prime is 6979932977. The reversal of 6979932960 is 692399796.

It is a Smith number, since the sum of its digits (60) 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 (60).

It is a junction number, because it is equal to n+sod(n) for n = 6979932894 and 6979932903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35074941 + ... + 35075139.

It is an arithmetic number, because the mean of its divisors is an integer number (39160800).

Almost surely, 2^6979932960 is an apocalyptic number.

6979932960 is a gapful number since it is divisible by the number (60) 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 6979932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037747200).

6979932960 is an abundant number, since it is smaller than the sum of its proper divisors (23095561440).

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

6979932960 is a wasteful number, since it uses less digits than its factorization.

6979932960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 60.

The square root of 6979932960 is about 83545.9930816553. The cubic root of 6979932960 is about 1911.1014872219.

It can be divided in two parts, 6979 and 932960, that added together give a palindrome (939939).

The spelling of 6979932960 in words is "six billion, nine hundred seventy-nine million, nine hundred thirty-two thousand, nine hundred sixty".