264844871200 has 576 divisors, whose sum is σ = 844292961792. Its totient is φ = 78829977600.

The previous prime is 264844871197. The next prime is 264844871201. The reversal of 264844871200 is 2178448462.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (264844871201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102137104 + ... + 102139696.

It is an arithmetic number, because the mean of its divisors is an integer number (1465786392).

Almost surely, 2^264844871200 is an apocalyptic number.

264844871200 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 264844871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422146480896).

264844871200 is an abundant number, since it is smaller than the sum of its proper divisors (579448090592).

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

264844871200 is a wasteful number, since it uses less digits than its factorization.

264844871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 264844871200 in words is "two hundred sixty-four billion, eight hundred forty-four million, eight hundred seventy-one thousand, two hundred".