264130510644 has 288 divisors, whose sum is σ = 911644231680. Its totient is φ = 62254137600.

The previous prime is 264130510619. The next prime is 264130510667. The reversal of 264130510644 is 446015031462.

264130510644 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 3 + 0 + 5 + 1 + 0 + 644 = 666.

264130510644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 264130510599 and 264130510608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2064009 + ... + 2188239.

It is an arithmetic number, because the mean of its divisors is an integer number (3165431360).

Almost surely, 2^264130510644 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 264130510644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455822115840).

264130510644 is an abundant number, since it is smaller than the sum of its proper divisors (647513721036).

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

264130510644 is a wasteful number, since it uses less digits than its factorization.

264130510644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124331 (or 124326 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 264130510644 in words is "two hundred sixty-four billion, one hundred thirty million, five hundred ten thousand, six hundred forty-four".