264242885319360 has 672 divisors, whose sum is σ = 973175046125568. Its totient is φ = 65693379870720.

The previous prime is 264242885319341. The next prime is 264242885319367. The reversal of 264242885319360 is 63913588242462.

264242885319360 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 4 + 2 + 8 + 8 + 531 + 93 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (264242885319367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279778479 + ... + 280721361.

Almost surely, 2^{264242885319360} is an apocalyptic number.

264242885319360 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 264242885319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486587523062784).

264242885319360 is an abundant number, since it is smaller than the sum of its proper divisors (708932160806208).

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

264242885319360 is a wasteful number, since it uses less digits than its factorization.

264242885319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943053 (or 943040 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 264242885319360 in words is "two hundred sixty-four trillion, two hundred forty-two billion, eight hundred eighty-five million, three hundred nineteen thousand, three hundred sixty".