65782464 has 56 divisors (see below), whose sum is σ = 189878208. Its totient is φ = 19933440.

The previous prime is 65782447. The next prime is 65782471. The reversal of 65782464 is 46428756.

65782464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65782464² = 8654665139822592, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 13462 + ... + 17685.

Almost surely, 2^65782464 is an apocalyptic number.

65782464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

65782464 is an abundant number, since it is smaller than the sum of its proper divisors (124095744).

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

65782464 is a wasteful number, since it uses less digits than its factorization.

65782464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31173 (or 31163 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 65782464 is about 8110.6389390726. The cubic root of 65782464 is about 403.6795157914.

The spelling of 65782464 in words is "sixty-five million, seven hundred eighty-two thousand, four hundred sixty-four".