664948800 has 252 divisors, whose sum is σ = 2405302276. Its totient is φ = 174182400.

The previous prime is 664948787. The next prime is 664948807. The reversal of 664948800 is 8849466.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 93547584 + 571401216 = 9672^2 + 23904^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (664948807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 878022 + ... + 878778.

Almost surely, 2^664948800 is an apocalyptic number.

664948800 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 664948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202651138).

664948800 is an abundant number, since it is smaller than the sum of its proper divisors (1740353476).

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

664948800 is a wasteful number, since it uses less digits than its factorization.

664948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 664948800 is about 25786.6011719265. The cubic root of 664948800 is about 872.8294719332.

The spelling of 664948800 in words is "six hundred sixty-four million, nine hundred forty-eight thousand, eight hundred".