6312211920 has 480 divisors, whose sum is σ = 26392953600. Its totient is φ = 1319141376.

The previous prime is 6312211889. The next prime is 6312211921. The reversal of 6312211920 is 291122136.

6312211920 is a `hidden beast` number, since 631 + 2 + 2 + 1 + 1 + 9 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6312211921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2775904 + ... + 2778176.

It is an arithmetic number, because the mean of its divisors is an integer number (54985320).

Almost surely, 2^6312211920 is an apocalyptic number.

6312211920 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 6312211920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13196476800).

6312211920 is an abundant number, since it is smaller than the sum of its proper divisors (20080741680).

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

6312211920 is a wasteful number, since it uses less digits than its factorization.

6312211920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6312211920 is about 79449.4299539021. The cubic root of 6312211920 is about 1848.1073333959.

The spelling of 6312211920 in words is "six billion, three hundred twelve million, two hundred eleven thousand, nine hundred twenty".