264217282560 has 1728 divisors, whose sum is σ = 1211233383360. Its totient is φ = 54623600640.

The previous prime is 264217282559. The next prime is 264217282601. The reversal of 264217282560 is 65282712462.

264217282560 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 1 + 7 + 2 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1341204382 + ... + 1341204578.

It is an arithmetic number, because the mean of its divisors is an integer number (700945245).

Almost surely, 2^264217282560 is an apocalyptic number.

264217282560 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 264217282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605616691680).

264217282560 is an abundant number, since it is smaller than the sum of its proper divisors (947016100800).

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

264217282560 is a wasteful number, since it uses less digits than its factorization.

264217282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 264217282560 in words is "two hundred sixty-four billion, two hundred seventeen million, two hundred eighty-two thousand, five hundred sixty".