6381204800 has 84 divisors (see below), whose sum is σ = 15726063036. Its totient is φ = 2548531200.

The previous prime is 6381204787. The next prime is 6381204803. The reversal of 6381204800 is 84021836.

It can be written as a sum of positive squares in 6 ways, for example, as 539354176 + 5841850624 = 23224^2 + 76432^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6381204803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170080 + ... + 1175520.

Almost surely, 2^6381204800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6381204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863031518).

6381204800 is an abundant number, since it is smaller than the sum of its proper divisors (9344858236).

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

6381204800 is a wasteful number, since it uses less digits than its factorization.

6381204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 6381204800 is about 79882.4436281214. The cubic root of 6381204800 is about 1854.8162598963.

The spelling of 6381204800 in words is "six billion, three hundred eighty-one million, two hundred four thousand, eight hundred".