6879812520960 has 2112 divisors, whose sum is σ = 27546140344320. Its totient is φ = 1578351329280.

The previous prime is 6879812520901. The next prime is 6879812520967. The reversal of 6879812520960 is 690252189786.

6879812520960 is a `hidden beast` number, since 6 + 8 + 7 + 9 + 8 + 12 + 520 + 96 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6879812520967) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 64297313227 + ... + 64297313333.

Almost surely, 2^{6879812520960} is an apocalyptic number.

6879812520960 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 6879812520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773070172160).

6879812520960 is an abundant number, since it is smaller than the sum of its proper divisors (20666327823360).

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

6879812520960 is a wasteful number, since it uses less digits than its factorization.

6879812520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 6879812520960 in words is "six trillion, eight hundred seventy-nine billion, eight hundred twelve million, five hundred twenty thousand, nine hundred sixty".