6123944736 has 360 divisors, whose sum is σ = 22568501340. Its totient is φ = 1614670848.

The previous prime is 6123944689. The next prime is 6123944767. The reversal of 6123944736 is 6374493216.

It can be written as a sum of positive squares in 2 ways, for example, as 5526435600 + 597509136 = 74340^2 + 24444^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6123944691 and 6123944700.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1649250 + ... + 1652958.

Almost surely, 2^6123944736 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 6123944736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11284250670).

6123944736 is an abundant number, since it is smaller than the sum of its proper divisors (16444556604).

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

6123944736 is a wasteful number, since it uses less digits than its factorization.

6123944736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3734 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 6123944736 is about 78255.6370876884. The cubic root of 6123944736 is about 1829.5477732328.

The spelling of 6123944736 in words is "six billion, one hundred twenty-three million, nine hundred forty-four thousand, seven hundred thirty-six".