577032882006 has 64 divisors (see below), whose sum is σ = 1332834370560. Its totient is φ = 163129559040.

The previous prime is 577032881963. The next prime is 577032882017. The reversal of 577032882006 is 600288230775.

577032882006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21207871 + ... + 21235061.

It is an arithmetic number, because the mean of its divisors is an integer number (20825537040).

Almost surely, 2^577032882006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 577032882006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666417185280).

577032882006 is an abundant number, since it is smaller than the sum of its proper divisors (755801488554).

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

577032882006 is a wasteful number, since it uses less digits than its factorization.

577032882006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32509.

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 577032882006 in words is "five hundred seventy-seven billion, thirty-two million, eight hundred eighty-two thousand, six".