264828892608000 has 2560 divisors, whose sum is σ = 1149636612833280. Its totient is φ = 58837885747200.

The previous prime is 264828892607819. The next prime is 264828892608011. The reversal of 264828892608000 is 806298828462.

264828892608000 is a `hidden beast` number, since 2 + 6 + 482 + 8 + 8 + 92 + 60 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 118069054879 + ... + 118069057121.

It is an arithmetic number, because the mean of its divisors is an integer number (449076801888).

Almost surely, 2^{264828892608000} is an apocalyptic number.

264828892608000 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 264828892608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574818306416640).

264828892608000 is an abundant number, since it is smaller than the sum of its proper divisors (884807720225280).

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

264828892608000 is a wasteful number, since it uses less digits than its factorization.

264828892608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 264828892608000 in words is "two hundred sixty-four trillion, eight hundred twenty-eight billion, eight hundred ninety-two million, six hundred eight thousand".