664098336 has 432 divisors, whose sum is σ = 2352823200. Its totient is φ = 176394240.

The previous prime is 664098329. The next prime is 664098373. The reversal of 664098336 is 633890466.

It is a super-3 number, since 3×664098336³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 664098291 and 664098300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11255875 + ... + 11255933.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2^664098336 is an apocalyptic number.

664098336 is a gapful number since it is divisible by the number (66) 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 664098336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176411600).

664098336 is an abundant number, since it is smaller than the sum of its proper divisors (1688724864).

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

664098336 is a wasteful number, since it uses less digits than its factorization.

664098336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 664098336 is about 25770.1054712626. The cubic root of 664098336 is about 872.4571992918.

It can be divided in two parts, 6640 and 98336, that added together give a 4-th power (104976 = 18⁴).

The spelling of 664098336 in words is "six hundred sixty-four million, ninety-eight thousand, three hundred thirty-six".