264011306742 has 32 divisors (see below), whose sum is σ = 588169653600. Its totient is φ = 87782089824.

The previous prime is 264011306731. The next prime is 264011306743. The reversal of 264011306742 is 247603110462.

264011306742 is a `hidden beast` number, since 2 + 640 + 1 + 1 + 3 + 0 + 6 + 7 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 264011306697 and 264011306706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264011306743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6136117 + ... + 6178992.

It is an arithmetic number, because the mean of its divisors is an integer number (18380301675).

Almost surely, 2^264011306742 is an apocalyptic number.

264011306742 is an abundant number, since it is smaller than the sum of its proper divisors (324158346858).

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

264011306742 is a wasteful number, since it uses less digits than its factorization.

264011306742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12315517 (or 12315511 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 264011306742 in words is "two hundred sixty-four billion, eleven million, three hundred six thousand, seven hundred forty-two".