577649470080 has 128 divisors (see below), whose sum is σ = 1891021639680. Its totient is φ = 149876600832.

The previous prime is 577649470067. The next prime is 577649470103. The reversal of 577649470080 is 80074946775.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 577649470080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3994624 + ... + 4136703.

It is an arithmetic number, because the mean of its divisors is an integer number (14773606560).

Almost surely, 2^577649470080 is an apocalyptic number.

It is an amenable number.

577649470080 is an abundant number, since it is smaller than the sum of its proper divisors (1313372169600).

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

577649470080 is a wasteful number, since it uses less digits than its factorization.

577649470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131386 (or 8131374 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 577649470080 in words is "five hundred seventy-seven billion, six hundred forty-nine million, four hundred seventy thousand, eighty".