6900084979200 has 2160 divisors, whose sum is σ = 30246461490960. Its totient is φ = 1495646208000.

The previous prime is 6900084979187. The next prime is 6900084979201. The reversal of 6900084979200 is 29794800096.

6900084979200 is a `hidden beast` number, since 69 + 0 + 0 + 0 + 8 + 497 + 92 + 0 + 0 = 666.

It is a super-2 number, since 2×6900084979200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6900084979201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9985650855 + ... + 9985651545.

It is an arithmetic number, because the mean of its divisors is an integer number (14002991431).

Almost surely, 2^{6900084979200} is an apocalyptic number.

6900084979200 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 6900084979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123230745480).

6900084979200 is an abundant number, since it is smaller than the sum of its proper divisors (23346376511760).

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

6900084979200 is a wasteful number, since it uses less digits than its factorization.

6900084979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 798 counting only the distinct ones).

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

The spelling of 6900084979200 in words is "six trillion, nine hundred billion, eighty-four million, nine hundred seventy-nine thousand, two hundred".