663919312320 has 448 divisors, whose sum is σ = 2586657646080. Its totient is φ = 160948270080.

The previous prime is 663919312313. The next prime is 663919312327. The reversal of 663919312320 is 23213919366.

663919312320 is a `hidden beast` number, since 6 + 6 + 3 + 9 + 1 + 9 + 312 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (663919312313) and next prime (663919312327).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663919312327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7655119 + ... + 7741361.

Almost surely, 2^663919312320 is an apocalyptic number.

663919312320 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 663919312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293328823040).

663919312320 is an abundant number, since it is smaller than the sum of its proper divisors (1922738333760).

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

663919312320 is an equidigital number, since it uses as much as digits as its factorization.

663919312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86292 (or 86264 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 663919312320 in words is "six hundred sixty-three billion, nine hundred nineteen million, three hundred twelve thousand, three hundred twenty".