6045580800 has 1200 divisors, whose sum is σ = 27628365600. Its totient is φ = 1300561920.

The previous prime is 6045580771. The next prime is 6045580811. The reversal of 6045580800 is 80855406.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 355622392 + ... + 355622408.

It is an arithmetic number, because the mean of its divisors is an integer number (23023638).

Almost surely, 2^6045580800 is an apocalyptic number.

6045580800 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 6045580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13814182800).

6045580800 is an abundant number, since it is smaller than the sum of its proper divisors (21582784800).

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

6045580800 is an equidigital number, since it uses as much as digits as its factorization.

6045580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 6045580800 is about 77753.3330475292. Note that the first 3 decimals coincide. The cubic root of 6045580800 is about 1821.7104236102.

The spelling of 6045580800 in words is "six billion, forty-five million, five hundred eighty thousand, eight hundred".