664429824 has 144 divisors (see below), whose sum is σ = 1987095040. Its totient is φ = 218972160.

The previous prime is 664429811. The next prime is 664429841. The reversal of 664429824 is 428924466.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 664429824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669969 + ... + 670959.

Almost surely, 2^664429824 is an apocalyptic number.

664429824 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 664429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993547520).

664429824 is an abundant number, since it is smaller than the sum of its proper divisors (1322665216).

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

664429824 is an equidigital number, since it uses as much as digits as its factorization.

664429824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1093 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 664429824 is about 25776.5363072698. The cubic root of 664429824 is about 872.6023389343.

The spelling of 664429824 in words is "six hundred sixty-four million, four hundred twenty-nine thousand, eight hundred twenty-four".