264561330540 has 144 divisors (see below), whose sum is σ = 806624179200. Its totient is φ = 64758530304.

The previous prime is 264561330503. The next prime is 264561330559. The reversal of 264561330540 is 45033165462.

264561330540 is digitally balanced in base 2, 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 (39).

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 47 ways as a sum of consecutive naturals, for example, 1742181 + ... + 1887939.

It is an arithmetic number, because the mean of its divisors is an integer number (5601556800).

Almost surely, 2^264561330540 is an apocalyptic number.

264561330540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264561330540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403312089600).

264561330540 is an abundant number, since it is smaller than the sum of its proper divisors (542062848660).

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

264561330540 is a wasteful number, since it uses less digits than its factorization.

264561330540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145976 (or 145961 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 264561330540 in words is "two hundred sixty-four billion, five hundred sixty-one million, three hundred thirty thousand, five hundred forty".