264588900640 has 96 divisors (see below), whose sum is σ = 632909059776. Its totient is φ = 104513080320.

The previous prime is 264588900629. The next prime is 264588900659. The reversal of 264588900640 is 46009885462.

264588900640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 51165255 + ... + 51170425.

It is an arithmetic number, because the mean of its divisors is an integer number (6592802706).

Almost surely, 2^264588900640 is an apocalyptic number.

264588900640 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 264588900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316454529888).

264588900640 is an abundant number, since it is smaller than the sum of its proper divisors (368320159136).

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

264588900640 is a wasteful number, since it uses less digits than its factorization.

264588900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 264588900640 in words is "two hundred sixty-four billion, five hundred eighty-eight million, nine hundred thousand, six hundred forty".