264120316944 has 640 divisors, whose sum is σ = 855305256960. Its totient is φ = 69242880000.

The previous prime is 264120316879. The next prime is 264120316949. The reversal of 264120316944 is 449613021462.

264120316944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264120316896 and 264120316905.

It is not an unprimeable number, because it can be changed into a prime (264120316949) 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 127 ways as a sum of consecutive naturals, for example, 572928874 + ... + 572929334.

It is an arithmetic number, because the mean of its divisors is an integer number (1336414464).

Almost surely, 2^264120316944 is an apocalyptic number.

264120316944 is a gapful number since it is divisible by the number (24) 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 264120316944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427652628480).

264120316944 is an abundant number, since it is smaller than the sum of its proper divisors (591184940016).

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

264120316944 is a wasteful number, since it uses less digits than its factorization.

264120316944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 264120316944 in words is "two hundred sixty-four billion, one hundred twenty million, three hundred sixteen thousand, nine hundred forty-four".