6876188064 has 192 divisors, whose sum is σ = 20638800000. Its totient is φ = 2225940480.

The previous prime is 6876187991. The next prime is 6876188069. The reversal of 6876188064 is 4608816786.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6876188064.

It is not an unprimeable number, because it can be changed into a prime (6876188069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13779687 + ... + 13780185.

It is an arithmetic number, because the mean of its divisors is an integer number (107493750).

Almost surely, 2^6876188064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6876188064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319400000).

6876188064 is an abundant number, since it is smaller than the sum of its proper divisors (13762611936).

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

6876188064 is a wasteful number, since it uses less digits than its factorization.

6876188064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 6876188064 is about 82922.7837448792. The cubic root of 6876188064 is about 1901.5857550032.

The spelling of 6876188064 in words is "six billion, eight hundred seventy-six million, one hundred eighty-eight thousand, sixty-four".