6402305002800 has 480 divisors, whose sum is σ = 25137686085120. Its totient is φ = 1360204185600.

The previous prime is 6402305002789. The next prime is 6402305002867. The reversal of 6402305002800 is 82005032046.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8080360 + ... + 8837240.

It is an arithmetic number, because the mean of its divisors is an integer number (52370179344).

Almost surely, 2^{6402305002800} is an apocalyptic number.

6402305002800 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 6402305002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568843042560).

6402305002800 is an abundant number, since it is smaller than the sum of its proper divisors (18735381082320).

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

6402305002800 is a wasteful number, since it uses less digits than its factorization.

6402305002800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756981 (or 756970 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 6402305002800 in words is "six trillion, four hundred two billion, three hundred five million, two thousand, eight hundred".