264571728960 has 1344 divisors, whose sum is σ = 1188854599680. Its totient is φ = 48987832320.

The previous prime is 264571728923. The next prime is 264571728961. The reversal of 264571728960 is 69827175462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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 264571728960.

It is not an unprimeable number, because it can be changed into a prime (264571728961) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 167132329 + ... + 167133911.

Almost surely, 2^264571728960 is an apocalyptic number.

264571728960 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 264571728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594427299840).

264571728960 is an abundant number, since it is smaller than the sum of its proper divisors (924282870720).

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

264571728960 is a wasteful number, since it uses less digits than its factorization.

264571728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 264571728960 in words is "two hundred sixty-four billion, five hundred seventy-one million, seven hundred twenty-eight thousand, nine hundred sixty".