6879116640 has 384 divisors, whose sum is σ = 25231191552. Its totient is φ = 1556971520.

The previous prime is 6879116639. The next prime is 6879116641. The reversal of 6879116640 is 466119786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6879116639) and next prime (6879116641).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6879116640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6879116641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15528259 + ... + 15528701.

It is an arithmetic number, because the mean of its divisors is an integer number (65706228).

Almost surely, 2^6879116640 is an apocalyptic number.

6879116640 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 6879116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12615595776).

6879116640 is an abundant number, since it is smaller than the sum of its proper divisors (18352074912).

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

6879116640 is a wasteful number, since it uses less digits than its factorization.

6879116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 6879116640 is about 82940.4403171336. The cubic root of 6879116640 is about 1901.8556791692.

The spelling of 6879116640 in words is "six billion, eight hundred seventy-nine million, one hundred sixteen thousand, six hundred forty".