664747200 has 504 divisors, whose sum is σ = 2631112848. Its totient is φ = 158146560.

The previous prime is 664747199. The next prime is 664747201. The reversal of 664747200 is 2747466.

664747200 is a `hidden beast` number, since 6 + 647 + 4 + 7 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (664747199) and next prime (664747201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (664747201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9921567 + ... + 9921633.

It is an arithmetic number, because the mean of its divisors is an integer number (5220462).

Almost surely, 2^664747200 is an apocalyptic number.

664747200 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 664747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315556424).

664747200 is an abundant number, since it is smaller than the sum of its proper divisors (1966365648).

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

664747200 is a wasteful number, since it uses less digits than its factorization.

664747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 664747200 is about 25782.6918687712. The cubic root of 664747200 is about 872.7412545108.

The spelling of 664747200 in words is "six hundred sixty-four million, seven hundred forty-seven thousand, two hundred".