264504035680 has 96 divisors (see below), whose sum is σ = 638761697280. Its totient is φ = 103457164800.

The previous prime is 264504035669. The next prime is 264504035681. The reversal of 264504035680 is 86530405462.

264504035680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264504035681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8640241 + ... + 8670799.

It is an arithmetic number, because the mean of its divisors is an integer number (6653767680).

Almost surely, 2^264504035680 is an apocalyptic number.

264504035680 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 264504035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319380848640).

264504035680 is an abundant number, since it is smaller than the sum of its proper divisors (374257661600).

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

264504035680 is a wasteful number, since it uses less digits than its factorization.

264504035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31772 (or 31764 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 264504035680 in words is "two hundred sixty-four billion, five hundred four million, thirty-five thousand, six hundred eighty".