649635264 has 84 divisors (see below), whose sum is σ = 1926320760. Its totient is φ = 209072640.

The previous prime is 649635247. The next prime is 649635281. The reversal of 649635264 is 462536946.

649635264 is a `hidden beast` number, since 6 + 4 + 9 + 635 + 2 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (649635247) and next prime (649635281).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 2742 + ... + 36149.

It is an arithmetic number, because the mean of its divisors is an integer number (22932390).

Almost surely, 2^649635264 is an apocalyptic number.

649635264 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 649635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963160380).

649635264 is an abundant number, since it is smaller than the sum of its proper divisors (1276685496).

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

649635264 is a wasteful number, since it uses less digits than its factorization.

649635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38938 (or 38925 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 649635264 is about 25487.9435027622. The cubic root of 649635264 is about 866.0770501096.

The spelling of 649635264 in words is "six hundred forty-nine million, six hundred thirty-five thousand, two hundred sixty-four".