6316584960 has 416 divisors, whose sum is σ = 24344962560. Its totient is φ = 1366032384.

The previous prime is 6316584959. The next prime is 6316584971. The reversal of 6316584960 is 694856136.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8171134 + ... + 8171906.

Almost surely, 2^6316584960 is an apocalyptic number.

6316584960 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 6316584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12172481280).

6316584960 is an abundant number, since it is smaller than the sum of its proper divisors (18028377600).

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

6316584960 is a wasteful number, since it uses less digits than its factorization.

6316584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 6316584960 is about 79476.9460913037. The cubic root of 6316584960 is about 1848.5340185670.

The spelling of 6316584960 in words is "six billion, three hundred sixteen million, five hundred eighty-four thousand, nine hundred sixty".