264434624531130 has 128 divisors (see below), whose sum is σ = 664392303383040. Its totient is φ = 67230422138880.

The previous prime is 264434624531057. The next prime is 264434624531131. The reversal of 264434624531130 is 31135426434462.

264434624531130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 264434624531130.

It is not an unprimeable number, because it can be changed into a prime (264434624531131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5351927866 + ... + 5351977274.

It is an arithmetic number, because the mean of its divisors is an integer number (5190564870180).

Almost surely, 2^{264434624531130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264434624531130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332196151691520).

264434624531130 is an abundant number, since it is smaller than the sum of its proper divisors (399957678851910).

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

264434624531130 is a wasteful number, since it uses less digits than its factorization.

264434624531130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74536.

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 264434624531130 in words is "two hundred sixty-four trillion, four hundred thirty-four billion, six hundred twenty-four million, five hundred thirty-one thousand, one hundred thirty".