264718531806096 has 640 divisors, whose sum is σ = 754623904153600. Its totient is φ = 79737082214400.

The previous prime is 264718531806037. The next prime is 264718531806101. The reversal of 264718531806096 is 690608135817462.

It is a super-2 number, since 2×264718531806096² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 976821150441 + ... + 976821150711.

It is an arithmetic number, because the mean of its divisors is an integer number (1179099850240).

It is a 1-persistent number, because it is pandigital, but 2⋅264718531806096 = 529437063612192 is not.

Almost surely, 2^{264718531806096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264718531806096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377311952076800).

264718531806096 is an abundant number, since it is smaller than the sum of its proper divisors (489905372347504).

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

264718531806096 is a wasteful number, since it uses less digits than its factorization.

264718531806096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 264718531806096 in words is "two hundred sixty-four trillion, seven hundred eighteen billion, five hundred thirty-one million, eight hundred six thousand, ninety-six".