663338743200 has 1440 divisors, whose sum is σ = 2874776002560. Its totient is φ = 145703577600.

The previous prime is 663338743181. The next prime is 663338743231. The reversal of 663338743200 is 2347833366.

663338743200 is a `hidden beast` number, since 6 + 63 + 3 + 387 + 4 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 1384840561 + ... + 1384841039.

It is an arithmetic number, because the mean of its divisors is an integer number (1996372224).

Almost surely, 2^663338743200 is an apocalyptic number.

663338743200 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 663338743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437388001280).

663338743200 is an abundant number, since it is smaller than the sum of its proper divisors (2211437259360).

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

663338743200 is a wasteful number, since it uses less digits than its factorization.

663338743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 663338743200 in words is "six hundred sixty-three billion, three hundred thirty-eight million, seven hundred forty-three thousand, two hundred".