6876409660560 has 320 divisors, whose sum is σ = 25988002018560. Its totient is φ = 1657371525120.

The previous prime is 6876409660517. The next prime is 6876409660583. The reversal of 6876409660560 is 650669046786.

6876409660560 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 4 + 0 + 9 + 6 + 60 + 560 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3274032 + ... + 4946928.

It is an arithmetic number, because the mean of its divisors is an integer number (81212506308).

Almost surely, 2^{6876409660560} is an apocalyptic number.

6876409660560 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 6876409660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994001009280).

6876409660560 is an abundant number, since it is smaller than the sum of its proper divisors (19111592358000).

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

6876409660560 is a wasteful number, since it uses less digits than its factorization.

6876409660560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673103 (or 1673091 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 6876409660560 in words is "six trillion, eight hundred seventy-six billion, four hundred nine million, six hundred sixty thousand, five hundred sixty".