264841830704640 has 1920 divisors, whose sum is σ = 1066197568702464. Its totient is φ = 54743924736000.

The previous prime is 264841830704629. The next prime is 264841830704641. The reversal of 264841830704640 is 46407038148462.

264841830704640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264841830704641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 132619844122 + ... + 132619846118.

Almost surely, 2^{264841830704640} is an apocalyptic number.

264841830704640 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 264841830704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533098784351232).

264841830704640 is an abundant number, since it is smaller than the sum of its proper divisors (801355737997824).

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

264841830704640 is a wasteful number, since it uses less digits than its factorization.

264841830704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 57.

The spelling of 264841830704640 in words is "two hundred sixty-four trillion, eight hundred forty-one billion, eight hundred thirty million, seven hundred four thousand, six hundred forty".