6979686480 has 360 divisors, whose sum is σ = 26726637600. Its totient is φ = 1627112448.

The previous prime is 6979686463. The next prime is 6979686521. The reversal of 6979686480 is 846869796.

6979686480 is a `hidden beast` number, since 6 + 9 + 79 + 6 + 86 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2310411 + ... + 2313429.

It is an arithmetic number, because the mean of its divisors is an integer number (74240660).

Almost surely, 2^6979686480 is an apocalyptic number.

6979686480 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 6979686480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13363318800).

6979686480 is an abundant number, since it is smaller than the sum of its proper divisors (19746951120).

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

6979686480 is a wasteful number, since it uses less digits than its factorization.

6979686480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The square root of 6979686480 is about 83544.5179530052. The cubic root of 6979686480 is about 1911.0789915981.

The spelling of 6979686480 in words is "six billion, nine hundred seventy-nine million, six hundred eighty-six thousand, four hundred eighty".