6879000960 has 192 divisors, whose sum is σ = 25581563280. Its totient is φ = 1693274112.

The previous prime is 6879000949. The next prime is 6879000979. The reversal of 6879000960 is 690009786.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 28947 + ... + 120813.

Almost surely, 2^6879000960 is an apocalyptic number.

6879000960 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 6879000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790781640).

6879000960 is an abundant number, since it is smaller than the sum of its proper divisors (18702562320).

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

6879000960 is a wasteful number, since it uses less digits than its factorization.

6879000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91905 (or 91890 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6879000960 is about 82939.7429463101. The cubic root of 6879000960 is about 1901.8450185030.

The spelling of 6879000960 in words is "six billion, eight hundred seventy-nine million, nine hundred sixty", and thus it is an aban number.