264562114560 has 512 divisors, whose sum is σ = 887836723200. Its totient is φ = 67192750080.

The previous prime is 264562114549. The next prime is 264562114673. The reversal of 264562114560 is 65411265462.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×264562114560² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1478000551 + ... + 1478000729.

It is an arithmetic number, because the mean of its divisors is an integer number (1734056100).

Almost surely, 2^264562114560 is an apocalyptic number.

264562114560 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 264562114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443918361600).

264562114560 is an abundant number, since it is smaller than the sum of its proper divisors (623274608640).

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

264562114560 is an equidigital number, since it uses as much as digits as its factorization.

264562114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 264562114560 in words is "two hundred sixty-four billion, five hundred sixty-two million, one hundred fourteen thousand, five hundred sixty".