576242006112 has 72 divisors (see below), whose sum is σ = 1641424402800. Its totient is φ = 191759942400.

The previous prime is 576242006099. The next prime is 576242006113. The reversal of 576242006112 is 211600242675.

It is a happy number.

576242006112 is a `hidden beast` number, since 5 + 7 + 624 + 20 + 0 + 6 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×576242006112³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576242006113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1497639 + ... + 1842662.

It is an arithmetic number, because the mean of its divisors is an integer number (22797561150).

Almost surely, 2^576242006112 is an apocalyptic number.

It is an amenable number.

576242006112 is an abundant number, since it is smaller than the sum of its proper divisors (1065182396688).

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

576242006112 is a wasteful number, since it uses less digits than its factorization.

576242006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340916 (or 3340905 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 576242006112 its reverse (211600242675), we get a palindrome (787842248787).

The spelling of 576242006112 in words is "five hundred seventy-six billion, two hundred forty-two million, six thousand, one hundred twelve".