6979492800 has 504 divisors, whose sum is σ = 30025640736. Its totient is φ = 1501102080.

The previous prime is 6979492781. The next prime is 6979492837. The reversal of 6979492800 is 82949796.

6979492800 is a `hidden beast` number, since 6 + 9 + 79 + 492 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1711564 + ... + 1715636.

It is an arithmetic number, because the mean of its divisors is an integer number (59574684).

Almost surely, 2^6979492800 is an apocalyptic number.

6979492800 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 6979492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012820368).

6979492800 is an abundant number, since it is smaller than the sum of its proper divisors (23046147936).

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

6979492800 is a wasteful number, since it uses less digits than its factorization.

6979492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 6979492800 is about 83543.3588024805. The cubic root of 6979492800 is about 1911.0613145289.

The spelling of 6979492800 in words is "six billion, nine hundred seventy-nine million, four hundred ninety-two thousand, eight hundred".