264432201632 has 48 divisors (see below), whose sum is σ = 532941679872. Its totient is φ = 129095312640.

The previous prime is 264432201629. The next prime is 264432201667. The reversal of 264432201632 is 236102234462.

It is a happy number.

264432201632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264432201592 and 264432201601.

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 7 ways as a sum of consecutive naturals, for example, 424373 + ... + 841995.

It is an arithmetic number, because the mean of its divisors is an integer number (11102951664).

Almost surely, 2^264432201632 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 264432201632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266470839936).

264432201632 is an abundant number, since it is smaller than the sum of its proper divisors (268509478240).

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

264432201632 is a wasteful number, since it uses less digits than its factorization.

264432201632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418101 (or 418093 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 264432201632 in words is "two hundred sixty-four billion, four hundred thirty-two million, two hundred one thousand, six hundred thirty-two".