264713248800 has 3240 divisors, whose sum is σ = 1354365572868. Its totient is φ = 49816166400.

The previous prime is 264713248777. The next prime is 264713248873. The reversal of 264713248800 is 8842317462.

It is a happy number.

264713248800 is a `hidden beast` number, since 264 + 71 + 3 + 248 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 75310727184 + 189402521616 = 274428^2 + 435204^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

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 539 ways as a sum of consecutive naturals, for example, 4994589574 + ... + 4994589626.

Almost surely, 2^264713248800 is an apocalyptic number.

264713248800 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 264713248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677182786434).

264713248800 is an abundant number, since it is smaller than the sum of its proper divisors (1089652324068).

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

264713248800 is a wasteful number, since it uses less digits than its factorization.

264713248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 264713248800 in words is "two hundred sixty-four billion, seven hundred thirteen million, two hundred forty-eight thousand, eight hundred".