6316492800 has 576 divisors, whose sum is σ = 23032900800. Its totient is φ = 1520435200.

The previous prime is 6316492769. The next prime is 6316492807. The reversal of 6316492800 is 82946136.

It is not an unprimeable number, because it can be changed into a prime (6316492807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107059171 + ... + 107059229.

It is an arithmetic number, because the mean of its divisors is an integer number (39987675).

Almost surely, 2^6316492800 is an apocalyptic number.

6316492800 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 6316492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11516450400).

6316492800 is an abundant number, since it is smaller than the sum of its proper divisors (16716408000).

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

6316492800 is a wasteful number, since it uses less digits than its factorization.

6316492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6316492800 is about 79476.3662984160. The cubic root of 6316492800 is about 1848.5250283862.

The spelling of 6316492800 in words is "six billion, three hundred sixteen million, four hundred ninety-two thousand, eight hundred".