6879016746 has 192 divisors, whose sum is σ = 18703353600. Its totient is φ = 1833632640.

The previous prime is 6879016699. The next prime is 6879016751. The reversal of 6879016746 is 6476109786.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6879016692 and 6879016701.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10534156 + ... + 10534808.

It is an arithmetic number, because the mean of its divisors is an integer number (97413300).

Almost surely, 2^6879016746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6879016746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9351676800).

6879016746 is an abundant number, since it is smaller than the sum of its proper divisors (11824336854).

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

6879016746 is a wasteful number, since it uses less digits than its factorization.

6879016746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6879016746 is about 82939.8381117301. The cubic root of 6879016746 is about 1901.8464732929.

The spelling of 6879016746 in words is "six billion, eight hundred seventy-nine million, sixteen thousand, seven hundred forty-six".