6123613668 has 72 divisors (see below), whose sum is σ = 14846438880. Its totient is φ = 1964390400.

The previous prime is 6123613631. The next prime is 6123613709. The reversal of 6123613668 is 8663163216.

It is a super-3 number, since 3×6123613668³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3824068 + ... + 3825668.

It is an arithmetic number, because the mean of its divisors is an integer number (206200540).

Almost surely, 2^6123613668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6123613668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423219440).

6123613668 is an abundant number, since it is smaller than the sum of its proper divisors (8722825212).

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

6123613668 is a wasteful number, since it uses less digits than its factorization.

6123613668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2014 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 6123613668 is about 78253.5217610045. The cubic root of 6123613668 is about 1829.5148034362.

The spelling of 6123613668 in words is "six billion, one hundred twenty-three million, six hundred thirteen thousand, six hundred sixty-eight".