664890065932800 has 240 divisors, whose sum is σ = 2196456161201280. Its totient is φ = 177301322711040.

The previous prime is 664890065932787. The next prime is 664890065932817. The reversal of 664890065932800 is 8239560098466.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×664890065932800² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5046193321 + ... + 5046325079.

It is an arithmetic number, because the mean of its divisors is an integer number (9151900671672).

Almost surely, 2^{664890065932800} is an apocalyptic number.

664890065932800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

664890065932800 is an abundant number, since it is smaller than the sum of its proper divisors (1531566095268480).

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

664890065932800 is a wasteful number, since it uses less digits than its factorization.

664890065932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263203 (or 263182 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 66.

The spelling of 664890065932800 in words is "six hundred sixty-four trillion, eight hundred ninety billion, sixty-five million, nine hundred thirty-two thousand, eight hundred".