503765664 has 48 divisors (see below), whose sum is σ = 1328267808. Its totient is φ = 167174912.

The previous prime is 503765657. The next prime is 503765719. The reversal of 503765664 is 466567305.

It is a tau number, because it is divible by the number of its divisors (48).

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, 10234 + ... + 33350.

It is an arithmetic number, because the mean of its divisors is an integer number (27672246).

Almost surely, 2^503765664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503765664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664133904).

503765664 is an abundant number, since it is smaller than the sum of its proper divisors (824502144).

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

503765664 is a wasteful number, since it uses less digits than its factorization.

503765664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23357 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 503765664 is about 22444.7246363149. The cubic root of 503765664 is about 795.6880843174.

The spelling of 503765664 in words is "five hundred three million, seven hundred sixty-five thousand, six hundred sixty-four".