6979348800 has 504 divisors, whose sum is σ = 26655064800. Its totient is φ = 1794078720.

The previous prime is 6979348757. The next prime is 6979348819. The reversal of 6979348800 is 88439796.

It is a super-2 number, since 2×6979348800² = 97422619344122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11274891 + ... + 11275509.

Almost surely, 2^6979348800 is an apocalyptic number.

6979348800 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 6979348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13327532400).

6979348800 is an abundant number, since it is smaller than the sum of its proper divisors (19675716000).

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

6979348800 is a wasteful number, since it uses less digits than its factorization.

6979348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6979348800 is about 83542.4969701050. The cubic root of 6979348800 is about 1911.0481715145.

The spelling of 6979348800 in words is "six billion, nine hundred seventy-nine million, three hundred forty-eight thousand, eight hundred".