663164909664 has 48 divisors (see below), whose sum is σ = 1748091663360. Its totient is φ = 220130046080.

The previous prime is 663164909653. The next prime is 663164909801. The reversal of 663164909664 is 466909461366.

663164909664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×663164909664² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 663164909598 and 663164909607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14428872 + ... + 14474759.

It is an arithmetic number, because the mean of its divisors is an integer number (36418576320).

Almost surely, 2^663164909664 is an apocalyptic number.

It is an amenable number.

663164909664 is an abundant number, since it is smaller than the sum of its proper divisors (1084926753696).

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

663164909664 is a wasteful number, since it uses less digits than its factorization.

663164909664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28903883 (or 28903875 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 60.

The spelling of 663164909664 in words is "six hundred sixty-three billion, one hundred sixty-four million, nine hundred nine thousand, six hundred sixty-four".