664357824 has 252 divisors, whose sum is σ = 2185567384. Its totient is φ = 191766528.

The previous prime is 664357823. The next prime is 664357843. The reversal of 664357824 is 428753466.

It is a self number, because there is not a number n which added to its sum of digits gives 664357824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664357823) 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, 2163879 + ... + 2164185.

Almost surely, 2^664357824 is an apocalyptic number.

664357824 is a gapful number since it is divisible by the number (64) 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 664357824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092783692).

664357824 is an abundant number, since it is smaller than the sum of its proper divisors (1521209560).

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

664357824 is a wasteful number, since it uses less digits than its factorization.

664357824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 342 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 664357824 is about 25775.1396504461. The cubic root of 664357824 is about 872.5708183555.

The spelling of 664357824 in words is "six hundred sixty-four million, three hundred fifty-seven thousand, eight hundred twenty-four".