264266740800 has 378 divisors, whose sum is σ = 995475465738. Its totient is φ = 66261934080.

The previous prime is 264266740729. The next prime is 264266740889. The reversal of 264266740800 is 8047662462.

It can be written as a sum of positive squares in 3 ways, for example, as 39795462144 + 224471278656 = 199488^2 + 473784^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 254346681 + ... + 254347719.

Almost surely, 2^264266740800 is an apocalyptic number.

264266740800 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 264266740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497737732869).

264266740800 is an abundant number, since it is smaller than the sum of its proper divisors (731208724938).

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

264266740800 is a wasteful number, since it uses less digits than its factorization.

264266740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 264266740800 in words is "two hundred sixty-four billion, two hundred sixty-six million, seven hundred forty thousand, eight hundred".