264426072064 has 384 divisors, whose sum is σ = 692897587200. Its totient is φ = 97872445440.

The previous prime is 264426072047. The next prime is 264426072067. The reversal of 264426072064 is 460270624462.

It is a super-2 number, since 2×264426072064² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264426072064.

It is not an unprimeable number, because it can be changed into a prime (264426072067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306402897 + ... + 306403759.

It is an arithmetic number, because the mean of its divisors is an integer number (1804420800).

Almost surely, 2^264426072064 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 264426072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346448793600).

264426072064 is an abundant number, since it is smaller than the sum of its proper divisors (428471515136).

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

264426072064 is a wasteful number, since it uses less digits than its factorization.

264426072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 43.

The spelling of 264426072064 in words is "two hundred sixty-four billion, four hundred twenty-six million, seventy-two thousand, sixty-four".