264794406912 has 540 divisors, whose sum is σ = 922080138210. Its totient is φ = 75506909184.

The previous prime is 264794406883. The next prime is 264794406913. The reversal of 264794406912 is 219604497462.

264794406912 is a `hidden beast` number, since 2 + 64 + 7 + 94 + 406 + 91 + 2 = 666.

264794406912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 189621927936 + 75172478976 = 435456^2 + 274176^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (264794406913) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 520224514 + ... + 520225022.

Almost surely, 2^264794406912 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 264794406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461040069105).

264794406912 is an abundant number, since it is smaller than the sum of its proper divisors (657285731298).

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

264794406912 is an frugal number, since it uses more digits than its factorization.

264794406912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 264794406912 in words is "two hundred sixty-four billion, seven hundred ninety-four million, four hundred six thousand, nine hundred twelve".