6316979760 has 480 divisors, whose sum is σ = 26518302720. Its totient is φ = 1312008192.

The previous prime is 6316979743. The next prime is 6316979819. The reversal of 6316979760 is 679796136.

It is a junction number, because it is equal to n+sod(n) for n = 6316979697 and 6316979706.

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, 4389121 + ... + 4390559.

It is an arithmetic number, because the mean of its divisors is an integer number (55246464).

Almost surely, 2^6316979760 is an apocalyptic number.

6316979760 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 6316979760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13259151360).

6316979760 is an abundant number, since it is smaller than the sum of its proper divisors (20201322960).

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

6316979760 is a wasteful number, since it uses less digits than its factorization.

6316979760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 6316979760 is about 79479.4297916134. The cubic root of 6316979760 is about 1848.5725302011.

The spelling of 6316979760 in words is "six billion, three hundred sixteen million, nine hundred seventy-nine thousand, seven hundred sixty".