512326460772 has 144 divisors (see below), whose sum is σ = 1490422752000. Its totient is φ = 145356456960.

The previous prime is 512326460603. The next prime is 512326460791. The reversal of 512326460772 is 277064623215.

512326460772 is a `hidden beast` number, since 5 + 1 + 2 + 32 + 6 + 4 + 607 + 7 + 2 = 666.

It is a super-3 number, since 3×512326460772³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26117304 + ... + 26136912.

It is an arithmetic number, because the mean of its divisors is an integer number (10350158000).

Almost surely, 2^512326460772 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 512326460772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745211376000).

512326460772 is an abundant number, since it is smaller than the sum of its proper divisors (978096291228).

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

512326460772 is a wasteful number, since it uses less digits than its factorization.

512326460772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20346 (or 20341 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 512326460772 in words is "five hundred twelve billion, three hundred twenty-six million, four hundred sixty thousand, seven hundred seventy-two".