6313222080 has 448 divisors, whose sum is σ = 24497141760. Its totient is φ = 1517875200.

The previous prime is 6313222067. The next prime is 6313222087. The reversal of 6313222080 is 802223136.

6313222080 is a `hidden beast` number, since 631 + 3 + 2 + 2 + 20 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6313222087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17202057 + ... + 17202423.

It is an arithmetic number, because the mean of its divisors is an integer number (54681120).

Almost surely, 2^6313222080 is an apocalyptic number.

6313222080 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 6313222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12248570880).

6313222080 is an abundant number, since it is smaller than the sum of its proper divisors (18183919680).

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

6313222080 is a wasteful number, since it uses less digits than its factorization.

6313222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6313222080 is about 79455.7869509830. The cubic root of 6313222080 is about 1848.2059139753.

The spelling of 6313222080 in words is "six billion, three hundred thirteen million, two hundred twenty-two thousand, eighty".