264663126036 has 72 divisors (see below), whose sum is σ = 685545352128. Its totient is φ = 86041872000.

The previous prime is 264663126029. The next prime is 264663126041. The reversal of 264663126036 is 630621366462.

264663126036 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 6 + 31 + 2 + 603 + 6 = 666.

264663126036 is digitally balanced in base 2, 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 (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 264663125982 and 264663126000.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4889641 + ... + 4943471.

It is an arithmetic number, because the mean of its divisors is an integer number (9521463224).

Almost surely, 2^264663126036 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 264663126036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342772676064).

264663126036 is an abundant number, since it is smaller than the sum of its proper divisors (420882226092).

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

264663126036 is a wasteful number, since it uses less digits than its factorization.

264663126036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57213 (or 57208 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 264663126036 in words is "two hundred sixty-four billion, six hundred sixty-three million, one hundred twenty-six thousand, thirty-six".