500753664 has 360 divisors, whose sum is σ = 1662017280. Its totient is φ = 149299200.

The previous prime is 500753653. The next prime is 500753689. The reversal of 500753664 is 466357005.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 12213484 + ... + 12213524.

Almost surely, 2^500753664 is an apocalyptic number.

500753664 is a gapful number since it is divisible by the number (54) 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 500753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831008640).

500753664 is an abundant number, since it is smaller than the sum of its proper divisors (1161263616).

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

500753664 is a wasteful number, since it uses less digits than its factorization.

500753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 500753664 is about 22377.5258686031. The cubic root of 500753664 is about 794.0991147919.

The spelling of 500753664 in words is "five hundred million, seven hundred fifty-three thousand, six hundred sixty-four".