6314790720 has 168 divisors, whose sum is σ = 23323015584. Its totient is φ = 1443369984.

The previous prime is 6314790673. The next prime is 6314790721. The reversal of 6314790720 is 270974136.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6314790721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20082 + ... + 114161.

Almost surely, 2^6314790720 is an apocalyptic number.

6314790720 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 6314790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11661507792).

6314790720 is an abundant number, since it is smaller than the sum of its proper divisors (17008224864).

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

6314790720 is a wasteful number, since it uses less digits than its factorization.

6314790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134277 (or 134260 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 6314790720 is about 79465.6574879992. The cubic root of 6314790720 is about 1848.3589752597.

The spelling of 6314790720 in words is "six billion, three hundred fourteen million, seven hundred ninety thousand, seven hundred twenty".