577680664 has 64 divisors (see below), whose sum is σ = 1206576000. Its totient is φ = 257099520.

The previous prime is 577680661. The next prime is 577680671. The reversal of 577680664 is 466086775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577680661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014972 + ... + 1015540.

It is an arithmetic number, because the mean of its divisors is an integer number (18852750).

Almost surely, 2^577680664 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 577680664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288000).

577680664 is an abundant number, since it is smaller than the sum of its proper divisors (628895336).

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

577680664 is a wasteful number, since it uses less digits than its factorization.

577680664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The square root of 577680664 is about 24034.9883295166. The cubic root of 577680664 is about 832.8419846242.

The spelling of 577680664 in words is "five hundred seventy-seven million, six hundred eighty thousand, six hundred sixty-four".