264226004600 has 24 divisors (see below), whose sum is σ = 614325461160. Its totient is φ = 105690401760.

The previous prime is 264226004521. The next prime is 264226004621. The reversal of 264226004600 is 6400622462.

264226004600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 660564812 + ... + 660565211.

It is an arithmetic number, because the mean of its divisors is an integer number (25596894215).

Almost surely, 2^264226004600 is an apocalyptic number.

264226004600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264226004600 is an abundant number, since it is smaller than the sum of its proper divisors (350099456560).

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

264226004600 is a wasteful number, since it uses less digits than its factorization.

264226004600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321130039 (or 1321130030 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 264226004600 in words is "two hundred sixty-four billion, two hundred twenty-six million, four thousand, six hundred".