6313360416 has 96 divisors (see below), whose sum is σ = 18173429568. Its totient is φ = 1903165440.

The previous prime is 6313360381. The next prime is 6313360447. The reversal of 6313360416 is 6140633136.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188320 + ... + 219296.

It is an arithmetic number, because the mean of its divisors is an integer number (189306558).

Almost surely, 2^6313360416 is an apocalyptic number.

6313360416 is a gapful number since it is divisible by the number (66) 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 6313360416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9086714784).

6313360416 is an abundant number, since it is smaller than the sum of its proper divisors (11860069152).

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

6313360416 is a wasteful number, since it uses less digits than its factorization.

6313360416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31194 (or 31186 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 6313360416 is about 79456.6574680813. The cubic root of 6313360416 is about 1848.2194132389.

The spelling of 6313360416 in words is "six billion, three hundred thirteen million, three hundred sixty thousand, four hundred sixteen".