663624990720 has 1440 divisors, whose sum is σ = 2643255695808. Its totient is φ = 158997676032.

The previous prime is 663624990697. The next prime is 663624990727. The reversal of 663624990720 is 27099426366.

663624990720 is a `hidden beast` number, since 6 + 6 + 3 + 624 + 9 + 9 + 0 + 7 + 2 + 0 = 666.

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

It is a super-2 number, since 2×663624990720² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663624990727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12521226214 + ... + 12521226266.

Almost surely, 2^663624990720 is an apocalyptic number.

663624990720 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 663624990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321627847904).

663624990720 is an abundant number, since it is smaller than the sum of its proper divisors (1979630705088).

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

663624990720 is an equidigital number, since it uses as much as digits as its factorization.

663624990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 663624990720 in words is "six hundred sixty-three billion, six hundred twenty-four million, nine hundred ninety thousand, seven hundred twenty".