264775680000 has 1350 divisors, whose sum is σ = 1095858958194. Its totient is φ = 61341696000.

The previous prime is 264775679963. The next prime is 264775680061. The reversal of 264775680000 is 86577462.

264775680000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 15 ways, for example, as 260051042304 + 4724637696 = 509952^2 + 68736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15575039992 + ... + 15575040008.

Almost surely, 2^264775680000 is an apocalyptic number.

264775680000 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 264775680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547929479097).

264775680000 is an abundant number, since it is smaller than the sum of its proper divisors (831083278194).

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

264775680000 is an equidigital number, since it uses as much as digits as its factorization.

264775680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 264775680000 in words is "two hundred sixty-four billion, seven hundred seventy-five million, six hundred eighty thousand".