264163289920 has 112 divisors (see below), whose sum is σ = 639648330048. Its totient is φ = 103895285760.

The previous prime is 264163289899. The next prime is 264163289933. The reversal of 264163289920 is 29982361462.

264163289920 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 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, 5580592 + ... + 5627728.

It is an arithmetic number, because the mean of its divisors is an integer number (5711145804).

Almost surely, 2^264163289920 is an apocalyptic number.

264163289920 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 264163289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319824165024).

264163289920 is an abundant number, since it is smaller than the sum of its proper divisors (375485040128).

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

264163289920 is a wasteful number, since it uses less digits than its factorization.

264163289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47448 (or 47438 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 264163289920 in words is "two hundred sixty-four billion, one hundred sixty-three million, two hundred eighty-nine thousand, nine hundred twenty".