663950649600 has 1296 divisors, whose sum is σ = 2856307184640. Its totient is φ = 149448499200.

The previous prime is 663950649599. The next prime is 663950649629. The reversal of 663950649600 is 6946059366.

It is a happy number.

663950649600 is a `hidden beast` number, since 6 + 6 + 39 + 506 + 49 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 772933971 + ... + 772934829.

Almost surely, 2^663950649600 is an apocalyptic number.

663950649600 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 663950649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428153592320).

663950649600 is an abundant number, since it is smaller than the sum of its proper divisors (2192356535040).

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

663950649600 is an equidigital number, since it uses as much as digits as its factorization.

663950649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 663950649600 in words is "six hundred sixty-three billion, nine hundred fifty million, six hundred forty-nine thousand, six hundred".