6879576000 has 672 divisors, whose sum is σ = 26307800064. Its totient is φ = 1579776000.

The previous prime is 6879575959. The next prime is 6879576001. The reversal of 6879576000 is 6759786.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6879576001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66791949 + ... + 66792051.

It is an arithmetic number, because the mean of its divisors is an integer number (39148512).

Almost surely, 2^6879576000 is an apocalyptic number.

6879576000 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 6879576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153900032).

6879576000 is an abundant number, since it is smaller than the sum of its proper divisors (19428224064).

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

6879576000 is a wasteful number, since it uses less digits than its factorization.

6879576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 6879576000 is about 82943.2094869737. The cubic root of 6879576000 is about 1901.8980110085.

The spelling of 6879576000 in words is "six billion, eight hundred seventy-nine million, five hundred seventy-six thousand".