264366524465340 has 384 divisors, whose sum is σ = 838456419225600. Its totient is φ = 61692622172160.

The previous prime is 264366524465213. The next prime is 264366524465369. The reversal of 264366524465340 is 43564425663462.

It is a super-3 number, since 3×264366524465340³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 364856331 + ... + 365580189.

It is an arithmetic number, because the mean of its divisors is an integer number (2183480258400).

Almost surely, 2^{264366524465340} is an apocalyptic number.

264366524465340 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 264366524465340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419228209612800).

264366524465340 is an abundant number, since it is smaller than the sum of its proper divisors (574089894760260).

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

264366524465340 is a wasteful number, since it uses less digits than its factorization.

264366524465340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724137 (or 724135 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 60.

The spelling of 264366524465340 in words is "two hundred sixty-four trillion, three hundred sixty-six billion, five hundred twenty-four million, four hundred sixty-five thousand, three hundred forty".