6117580800 has 252 divisors, whose sum is σ = 21919798680. Its totient is φ = 1630863360.

The previous prime is 6117580793. The next prime is 6117580801. The reversal of 6117580800 is 80857116.

6117580800 is a `hidden beast` number, since 61 + 17 + 580 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6117580801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1841541 + ... + 1844859.

Almost surely, 2^6117580800 is an apocalyptic number.

6117580800 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 6117580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10959899340).

6117580800 is an abundant number, since it is smaller than the sum of its proper divisors (15802217880).

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

6117580800 is a wasteful number, since it uses less digits than its factorization.

6117580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 6117580800 is about 78214.9653199437. The cubic root of 6117580800 is about 1828.9138049381.

The spelling of 6117580800 in words is "six billion, one hundred seventeen million, five hundred eighty thousand, eight hundred".