664082496 has 672 divisors, whose sum is σ = 2668584960. Its totient is φ = 159667200.

The previous prime is 664082491. The next prime is 664082521. The reversal of 664082496 is 694280466.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×664082496² = 882011122987180032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664082491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21422001 + ... + 21422031.

Almost surely, 2^664082496 is an apocalyptic number.

664082496 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 664082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334292480).

664082496 is an abundant number, since it is smaller than the sum of its proper divisors (2004502464).

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

664082496 is a wasteful number, since it uses less digits than its factorization.

664082496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 664082496 is about 25769.7981365784. The cubic root of 664082496 is about 872.4502626524.

The spelling of 664082496 in words is "six hundred sixty-four million, eighty-two thousand, four hundred ninety-six".