6876886484160 has 336 divisors, whose sum is σ = 29490233640192. Its totient is φ = 1428963379200.

The previous prime is 6876886484159. The next prime is 6876886484189. The reversal of 6876886484160 is 614846886786.

6876886484160 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 8 + 86 + 484 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-4 number, since 4×6876886484160⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 15283486 + ... + 15727005.

Almost surely, 2^{6876886484160} is an apocalyptic number.

6876886484160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6876886484160 is an abundant number, since it is smaller than the sum of its proper divisors (22613347156032).

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

6876886484160 is a wasteful number, since it uses less digits than its factorization.

6876886484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31010532 (or 31010519 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 6876886484160 in words is "six trillion, eight hundred seventy-six billion, eight hundred eighty-six million, four hundred eighty-four thousand, one hundred sixty".