264045712896000 has 4160 divisors, whose sum is σ = 1195148563614720. Its totient is φ = 56886578380800.

The previous prime is 264045712895989. The next prime is 264045712896001. The reversal of 264045712896000 is 698217540462.

264045712896000 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 4 + 5 + 7 + 1 + 28 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264045712896001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1340333567902 + ... + 1340333568098.

It is an arithmetic number, because the mean of its divisors is an integer number (287295327792).

Almost surely, 2^{264045712896000} is an apocalyptic number.

264045712896000 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 264045712896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597574281807360).

264045712896000 is an abundant number, since it is smaller than the sum of its proper divisors (931102850718720).

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

264045712896000 is an frugal number, since it uses more digits than its factorization.

264045712896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 264045712896000 in words is "two hundred sixty-four trillion, forty-five billion, seven hundred twelve million, eight hundred ninety-six thousand".