6878844000 has 672 divisors, whose sum is σ = 29046378816. Its totient is φ = 1567641600.

The previous prime is 6878843989. The next prime is 6878844019. The reversal of 6878844000 is 4488786.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20411832 + ... + 20412168.

It is an arithmetic number, because the mean of its divisors is an integer number (43223778).

Almost surely, 2^6878844000 is an apocalyptic number.

6878844000 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 6878844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14523189408).

6878844000 is an abundant number, since it is smaller than the sum of its proper divisors (22167534816).

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

6878844000 is an equidigital number, since it uses as much as digits as its factorization.

6878844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 6878844000 is about 82938.7967117922. The cubic root of 6878844000 is about 1901.8305534246.

The spelling of 6878844000 in words is "six billion, eight hundred seventy-eight million, eight hundred forty-four thousand".