264517384320 has 1280 divisors, whose sum is σ = 1155495559680. Its totient is φ = 56348835840.

The previous prime is 264517384301. The next prime is 264517384321. The reversal of 264517384320 is 23483715462.

264517384320 is a `hidden beast` number, since 2 + 6 + 45 + 173 + 8 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (264517384321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 342195454 + ... + 342196226.

It is an arithmetic number, because the mean of its divisors is an integer number (902730906).

Almost surely, 2^264517384320 is an apocalyptic number.

264517384320 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 264517384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577747779840).

264517384320 is an abundant number, since it is smaller than the sum of its proper divisors (890978175360).

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

264517384320 is a wasteful number, since it uses less digits than its factorization.

264517384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 264517384320 in words is "two hundred sixty-four billion, five hundred seventeen million, three hundred eighty-four thousand, three hundred twenty".