6398620800 has 768 divisors, whose sum is σ = 25498368000. Its totient is φ = 1389772800.

The previous prime is 6398620799. The next prime is 6398620817. The reversal of 6398620800 is 80268936.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80995161 + ... + 80995239.

It is an arithmetic number, because the mean of its divisors is an integer number (33201000).

Almost surely, 2^6398620800 is an apocalyptic number.

6398620800 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 6398620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749184000).

6398620800 is an abundant number, since it is smaller than the sum of its proper divisors (19099747200).

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

6398620800 is a wasteful number, since it uses less digits than its factorization.

6398620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 6398620800 is about 79991.3795355475. The cubic root of 6398620800 is about 1856.5021555445.

The spelling of 6398620800 in words is "six billion, three hundred ninety-eight million, six hundred twenty thousand, eight hundred".