6285580800 has 240 divisors, whose sum is σ = 20897091072. Its totient is φ = 1665433600.

The previous prime is 6285580789. The next prime is 6285580853. The reversal of 6285580800 is 80855826.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7333972 + ... + 7334828.

Almost surely, 2^6285580800 is an apocalyptic number.

6285580800 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 6285580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448545536).

6285580800 is an abundant number, since it is smaller than the sum of its proper divisors (14611510272).

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

6285580800 is a wasteful number, since it uses less digits than its factorization.

6285580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 6285580800 is about 79281.6548767746. The cubic root of 6285580800 is about 1845.5046247120.

The spelling of 6285580800 in words is "six billion, two hundred eighty-five million, five hundred eighty thousand, eight hundred".