664395763200 has 480 divisors, whose sum is σ = 2367901632096. Its totient is φ = 163247554560.

The previous prime is 664395763181. The next prime is 664395763231. The reversal of 664395763200 is 2367593466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×664395763200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427813624 + ... + 427815176.

Almost surely, 2^664395763200 is an apocalyptic number.

664395763200 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 664395763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183950816048).

664395763200 is an abundant number, since it is smaller than the sum of its proper divisors (1703505868896).

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

664395763200 is a wasteful number, since it uses less digits than its factorization.

664395763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 664395763200 in words is "six hundred sixty-four billion, three hundred ninety-five million, seven hundred sixty-three thousand, two hundred".