6368881428000 has 3888 divisors, whose sum is σ = 31081288564872. Its totient is φ = 1223921664000.

The previous prime is 6368881427999. The next prime is 6368881428073. The reversal of 6368881428000 is 8241888636.

6368881428000 is a `hidden beast` number, since 63 + 6 + 88 + 81 + 428 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 80562874896 + 6288318553104 = 283836^2 + 2507652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 205447787985 + ... + 205447788015.

Almost surely, 2^{6368881428000} is an apocalyptic number.

6368881428000 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 6368881428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15540644282436).

6368881428000 is an abundant number, since it is smaller than the sum of its proper divisors (24712407136872).

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

6368881428000 is a wasteful number, since it uses less digits than its factorization.

6368881428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 6368881428000 in words is "six trillion, three hundred sixty-eight billion, eight hundred eighty-one million, four hundred twenty-eight thousand".