663902038800 has 2880 divisors, whose sum is σ = 3345305886720. Its totient is φ = 122798592000.

The previous prime is 663902038783. The next prime is 663902038823. The reversal of 663902038800 is 8830209366.

663902038800 is a `hidden beast` number, since 6 + 639 + 0 + 2 + 0 + 3 + 8 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2345943459 + ... + 2345943741.

It is an arithmetic number, because the mean of its divisors is an integer number (1161564544).

Almost surely, 2^663902038800 is an apocalyptic number.

663902038800 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 663902038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672652943360).

663902038800 is an abundant number, since it is smaller than the sum of its proper divisors (2681403847920).

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

663902038800 is a wasteful number, since it uses less digits than its factorization.

663902038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 663902038800 in words is "six hundred sixty-three billion, nine hundred two million, thirty-eight thousand, eight hundred".