6663000400 has 180 divisors, whose sum is σ = 19717748028. Its totient is φ = 2149969920.

The previous prime is 6663000391. The next prime is 6663000437. The reversal of 6663000400 is 40003666.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 299428416 + 6363571984 = 17304^2 + 79772^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 323202 + ... + 343198.

Almost surely, 2^6663000400 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 6663000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858874014).

6663000400 is an abundant number, since it is smaller than the sum of its proper divisors (13054747628).

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

6663000400 is a wasteful number, since it uses less digits than its factorization.

6663000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20046 (or 20028 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 6663000400 is about 81627.2037987337. The cubic root of 6663000400 is about 1881.7269855955.

The spelling of 6663000400 in words is "six billion, six hundred sixty-three million, four hundred", and thus it is an aban number.