264340252001364 has 288 divisors, whose sum is σ = 808523239176576. Its totient is φ = 66417973816320.

The previous prime is 264340252001299. The next prime is 264340252001393. The reversal of 264340252001364 is 463100252043462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38209282 + ... + 44594054.

It is an arithmetic number, because the mean of its divisors is an integer number (2807372358252).

Almost surely, 2^{264340252001364} 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 264340252001364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404261619588288).

264340252001364 is an abundant number, since it is smaller than the sum of its proper divisors (544182987175212).

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

264340252001364 is a wasteful number, since it uses less digits than its factorization.

264340252001364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385015 (or 6385006 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 264340252001364 in words is "two hundred sixty-four trillion, three hundred forty billion, two hundred fifty-two million, one thousand, three hundred sixty-four".