664305388830720 has 4320 divisors, whose sum is σ = 3048554902498560. Its totient is φ = 132368962682880.

The previous prime is 664305388830701. The next prime is 664305388830731. The reversal of 664305388830720 is 27038883503466.

664305388830720 is a `hidden beast` number, since 6 + 6 + 43 + 0 + 538 + 8 + 8 + 30 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 961368145575 + ... + 961368146265.

It is an arithmetic number, because the mean of its divisors is an integer number (705684005208).

Almost surely, 2^{664305388830720} is an apocalyptic number.

664305388830720 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 664305388830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524277451249280).

664305388830720 is an abundant number, since it is smaller than the sum of its proper divisors (2384249513667840).

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

664305388830720 is a wasteful number, since it uses less digits than its factorization.

664305388830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 664305388830720 in words is "six hundred sixty-four trillion, three hundred five billion, three hundred eighty-eight million, eight hundred thirty thousand, seven hundred twenty".