6879811092480 has 960 divisors, whose sum is σ = 25411673548800. Its totient is φ = 1764092805120.

The previous prime is 6879811092463. The next prime is 6879811092491. The reversal of 6879811092480 is 842901189786.

6879811092480 is a `hidden beast` number, since 6 + 8 + 79 + 81 + 1 + 0 + 9 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×6879811092480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18444533574 + ... + 18444533946.

It is an arithmetic number, because the mean of its divisors is an integer number (26470493280).

Almost surely, 2^{6879811092480} is an apocalyptic number.

6879811092480 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 6879811092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705836774400).

6879811092480 is an abundant number, since it is smaller than the sum of its proper divisors (18531862456320).

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

6879811092480 is a wasteful number, since it uses less digits than its factorization.

6879811092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 6879811092480 in words is "six trillion, eight hundred seventy-nine billion, eight hundred eleven million, ninety-two thousand, four hundred eighty".