6387204096000 has 2880 divisors, whose sum is σ = 30545191076400. Its totient is φ = 1268357529600.

The previous prime is 6387204095981. The next prime is 6387204096029. The reversal of 6387204096000 is 6904027836.

6387204096000 is a `hidden beast` number, since 6 + 38 + 7 + 2 + 0 + 4 + 0 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 111096889344 + 6276107206656 = 333312^2 + 2505216^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 375717887992 + ... + 375717888008.

Almost surely, 2^{6387204096000} is an apocalyptic number.

6387204096000 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 6387204096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272595538200).

6387204096000 is an abundant number, since it is smaller than the sum of its proper divisors (24157986980400).

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

6387204096000 is an equidigital number, since it uses as much as digits as its factorization.

6387204096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6387204096000 in words is "six trillion, three hundred eighty-seven billion, two hundred four million, ninety-six thousand".