507677664 has 96 divisors (see below), whose sum is σ = 1519650720. Its totient is φ = 147013632.

The previous prime is 507677641. The next prime is 507677671. The reversal of 507677664 is 466776705.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×507677664² = 515473221048993792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 9252 + ... + 33180.

It is an arithmetic number, because the mean of its divisors is an integer number (15829695).

Almost surely, 2^507677664 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 507677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759825360).

507677664 is an abundant number, since it is smaller than the sum of its proper divisors (1011973056).

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

507677664 is a wasteful number, since it uses less digits than its factorization.

507677664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23972 (or 23964 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 507677664 is about 22531.7035308030. The cubic root of 507677664 is about 797.7424184832.

The spelling of 507677664 in words is "five hundred seven million, six hundred seventy-seven thousand, six hundred sixty-four".