663147925200 has 180 divisors, whose sum is σ = 2302637800320. Its totient is φ = 176737224960.

The previous prime is 663147925103. The next prime is 663147925229. The reversal of 663147925200 is 2529741366.

663147925200 is a `hidden beast` number, since 6 + 6 + 31 + 4 + 7 + 92 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6280039 + ... + 6384761.

It is an arithmetic number, because the mean of its divisors is an integer number (12792432224).

Almost surely, 2^663147925200 is an apocalyptic number.

663147925200 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 663147925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151318900160).

663147925200 is an abundant number, since it is smaller than the sum of its proper divisors (1639489875120).

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

663147925200 is a wasteful number, since it uses less digits than its factorization.

663147925200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106506 (or 106492 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 663147925200 in words is "six hundred sixty-three billion, one hundred forty-seven million, nine hundred twenty-five thousand, two hundred".