264813864960 has 384 divisors, whose sum is σ = 903232512000. Its totient is φ = 66042003456.

The previous prime is 264813864899. The next prime is 264813864967. The reversal of 264813864960 is 69468318462.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 264813864960.

It is not an unprimeable number, because it can be changed into a prime (264813864967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46107849 + ... + 46113591.

It is an arithmetic number, because the mean of its divisors is an integer number (2352168000).

Almost surely, 2^264813864960 is an apocalyptic number.

264813864960 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 264813864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451616256000).

264813864960 is an abundant number, since it is smaller than the sum of its proper divisors (638418647040).

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

264813864960 is a wasteful number, since it uses less digits than its factorization.

264813864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 264813864960 in words is "two hundred sixty-four billion, eight hundred thirteen million, eight hundred sixty-four thousand, nine hundred sixty".