664415314680 has 512 divisors, whose sum is σ = 2270177280000. Its totient is φ = 154412310528.

The previous prime is 664415314649. The next prime is 664415314747. The reversal of 664415314680 is 86413514466.

664415314680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 611237097 + ... + 611238183.

It is an arithmetic number, because the mean of its divisors is an integer number (4433940000).

Almost surely, 2^664415314680 is an apocalyptic number.

664415314680 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 664415314680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135088640000).

664415314680 is an abundant number, since it is smaller than the sum of its proper divisors (1605761965320).

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

664415314680 is a wasteful number, since it uses less digits than its factorization.

664415314680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 664415314680 in words is "six hundred sixty-four billion, four hundred fifteen million, three hundred fourteen thousand, six hundred eighty".