6113296800 has 864 divisors, whose sum is σ = 25080269760. Its totient is φ = 1443225600.

The previous prime is 6113296789. The next prime is 6113296807. The reversal of 6113296800 is 86923116.

6113296800 is a `hidden beast` number, since 611 + 32 + 9 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6113296807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103615171 + ... + 103615229.

It is an arithmetic number, because the mean of its divisors is an integer number (29028090).

Almost surely, 2^6113296800 is an apocalyptic number.

6113296800 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 6113296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12540134880).

6113296800 is an abundant number, since it is smaller than the sum of its proper divisors (18966972960).

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

6113296800 is a wasteful number, since it uses less digits than its factorization.

6113296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6113296800 is about 78187.5744603962. The cubic root of 6113296800 is about 1828.4867899347.

The spelling of 6113296800 in words is "six billion, one hundred thirteen million, two hundred ninety-six thousand, eight hundred".