6313408920 has 1280 divisors, whose sum is σ = 29272320000. Its totient is φ = 1207084032.

The previous prime is 6313408879. The next prime is 6313408967. The reversal of 6313408920 is 298043136.

It is a super-2 number, since 2×6313408920² = 79718264382271132800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 274496029 + ... + 274496051.

It is an arithmetic number, because the mean of its divisors is an integer number (22869000).

Almost surely, 2^6313408920 is an apocalyptic number.

6313408920 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 6313408920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160000).

6313408920 is an abundant number, since it is smaller than the sum of its proper divisors (22958911080).

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

6313408920 is a wasteful number, since it uses less digits than its factorization.

6313408920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6313408920 is about 79456.9626905031. The cubic root of 6313408920 is about 1848.2241463656.

The spelling of 6313408920 in words is "six billion, three hundred thirteen million, four hundred eight thousand, nine hundred twenty".