6113364940800 has 1728 divisors, whose sum is σ = 25181870444640. Its totient is φ = 1404064235520.

The previous prime is 6113364940789. The next prime is 6113364940843. The reversal of 6113364940800 is 80494633116.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17617766227 + ... + 17617766573.

Almost surely, 2^{6113364940800} is an apocalyptic number.

6113364940800 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 6113364940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12590935222320).

6113364940800 is an abundant number, since it is smaller than the sum of its proper divisors (19068505503840).

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

6113364940800 is a wasteful number, since it uses less digits than its factorization.

6113364940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 6113364940800 in words is "six trillion, one hundred thirteen billion, three hundred sixty-four million, nine hundred forty thousand, eight hundred".