6123313920 has 576 divisors, whose sum is σ = 22251801600. Its totient is φ = 1427374080.

The previous prime is 6123313913. The next prime is 6123313957. The reversal of 6123313920 is 293133216.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68801236 + ... + 68801324.

It is an arithmetic number, because the mean of its divisors is an integer number (38631600).

Almost surely, 2^6123313920 is an apocalyptic number.

6123313920 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 6123313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11125900800).

6123313920 is an abundant number, since it is smaller than the sum of its proper divisors (16128487680).

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

6123313920 is a wasteful number, since it uses less digits than its factorization.

6123313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 6123313920 is about 78251.6065010809. The cubic root of 6123313920 is about 1829.4849516536.

The spelling of 6123313920 in words is "six billion, one hundred twenty-three million, three hundred thirteen thousand, nine hundred twenty".