577102020642 has 72 divisors (see below), whose sum is σ = 1455264720000. Its totient is φ = 164803303728.

The previous prime is 577102020641. The next prime is 577102020683. The reversal of 577102020642 is 246020201775.

It is a happy number.

577102020642 is a `hidden beast` number, since 5 + 7 + 7 + 1 + 0 + 2 + 0 + 2 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 577102020597 and 577102020606.

It is not an unprimeable number, because it can be changed into a prime (577102020641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1599459 + ... + 1926777.

It is an arithmetic number, because the mean of its divisors is an integer number (20212010000).

Almost surely, 2^577102020642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 577102020642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727632360000).

577102020642 is an abundant number, since it is smaller than the sum of its proper divisors (878162699358).

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

577102020642 is a wasteful number, since it uses less digits than its factorization.

577102020642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329340 (or 329330 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 577102020642 in words is "five hundred seventy-seven billion, one hundred two million, twenty thousand, six hundred forty-two".