6013828800 has 630 divisors, whose sum is σ = 25741507572. Its totient is φ = 1373137920.

The previous prime is 6013828771. The next prime is 6013828853. The reversal of 6013828800 is 88283106.

It is a tau number, because it is divible by the number of its divisors (630).

It is a super-2 number, since 2×6013828800² = 72332273671418880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6349927 + ... + 6350873.

Almost surely, 2^6013828800 is an apocalyptic number.

6013828800 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 6013828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870753786).

6013828800 is an abundant number, since it is smaller than the sum of its proper divisors (19727678772).

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

6013828800 is a wasteful number, since it uses less digits than its factorization.

6013828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6013828800 is about 77548.8800692828. The cubic root of 6013828800 is about 1818.5155548584.

The spelling of 6013828800 in words is "six billion, thirteen million, eight hundred twenty-eight thousand, eight hundred".