577666540 has 48 divisors (see below), whose sum is σ = 1327767840. Its totient is φ = 209364480.

The previous prime is 577666513. The next prime is 577666543. The reversal of 577666540 is 45666775.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (577666543) 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, 64666 + ... + 73054.

It is an arithmetic number, because the mean of its divisors is an integer number (27661830).

Almost surely, 2^577666540 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 577666540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663883920).

577666540 is an abundant number, since it is smaller than the sum of its proper divisors (750101300).

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

577666540 is a wasteful number, since it uses less digits than its factorization.

577666540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8722 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The square root of 577666540 is about 24034.6945060677. The cubic root of 577666540 is about 832.8351970472.

The spelling of 577666540 in words is "five hundred seventy-seven million, six hundred sixty-six thousand, five hundred forty".