6316717680 has 480 divisors, whose sum is σ = 26285400960. Its totient is φ = 1323786240.

The previous prime is 6316717657. The next prime is 6316717691. The reversal of 6316717680 is 867176136.

6316717680 is a `hidden beast` number, since 631 + 6 + 7 + 1 + 7 + 6 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 15003870 + ... + 15004290.

It is an arithmetic number, because the mean of its divisors is an integer number (54761252).

Almost surely, 2^6316717680 is an apocalyptic number.

6316717680 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 6316717680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142700480).

6316717680 is an abundant number, since it is smaller than the sum of its proper divisors (19968683280).

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

6316717680 is a wasteful number, since it uses less digits than its factorization.

6316717680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6316717680 is about 79477.7810460257. The cubic root of 6316717680 is about 1848.5469652103.

The spelling of 6316717680 in words is "six billion, three hundred sixteen million, seven hundred seventeen thousand, six hundred eighty".