6979697020800 has 2304 divisors, whose sum is σ = 30340305715200. Its totient is φ = 1494484992000.

The previous prime is 6979697020799. The next prime is 6979697020811. The reversal of 6979697020800 is 80207969796.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33079132695 + ... + 33079132905.

Almost surely, 2^{6979697020800} is an apocalyptic number.

6979697020800 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 6979697020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15170152857600).

6979697020800 is an abundant number, since it is smaller than the sum of its proper divisors (23360608694400).

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

6979697020800 is a wasteful number, since it uses less digits than its factorization.

6979697020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 6979697020800 in words is "six trillion, nine hundred seventy-nine billion, six hundred ninety-seven million, twenty thousand, eight hundred".