507665664 has 216 divisors, whose sum is σ = 1652860160. Its totient is φ = 153584640.

The previous prime is 507665621. The next prime is 507665681. The reversal of 507665664 is 466566705.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 836049 + ... + 836655.

Almost surely, 2^507665664 is an apocalyptic number.

507665664 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 507665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826430080).

507665664 is an abundant number, since it is smaller than the sum of its proper divisors (1145194496).

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

507665664 is a wasteful number, since it uses less digits than its factorization.

507665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 507665664 is about 22531.4372377796. The cubic root of 507665664 is about 797.7361330091.

The spelling of 507665664 in words is "five hundred seven million, six hundred sixty-five thousand, six hundred sixty-four".