6876934767360 has 1152 divisors, whose sum is σ = 28943448145920. Its totient is φ = 1513528934400.

The previous prime is 6876934767359. The next prime is 6876934767371. The reversal of 6876934767360 is 637674396786.

6876934767360 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 93 + 476 + 7 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 738577105 + ... + 738586415.

It is an arithmetic number, because the mean of its divisors is an integer number (25124520960).

Almost surely, 2^{6876934767360} is an apocalyptic number.

6876934767360 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 6876934767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471724072960).

6876934767360 is an abundant number, since it is smaller than the sum of its proper divisors (22066513378560).

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

6876934767360 is a wasteful number, since it uses less digits than its factorization.

6876934767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9462 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 72.

The spelling of 6876934767360 in words is "six trillion, eight hundred seventy-six billion, nine hundred thirty-four million, seven hundred sixty-seven thousand, three hundred sixty".