264967200000 has 1296 divisors, whose sum is σ = 1046205538560. Its totient is φ = 66769920000.

The previous prime is 264967199921. The next prime is 264967200013. The reversal of 264967200000 is 2769462.

It is a happy number.

264967200000 is a `hidden beast` number, since 2 + 649 + 6 + 7 + 2 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 5637599977 + ... + 5637600023.

It is an arithmetic number, because the mean of its divisors is an integer number (807257360).

Almost surely, 2^264967200000 is an apocalyptic number.

264967200000 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 264967200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523102769280).

264967200000 is an abundant number, since it is smaller than the sum of its proper divisors (781238338560).

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

264967200000 is an frugal number, since it uses more digits than its factorization.

264967200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 264967200000 its reverse (2769462), we get a palindrome (264969969462).

The spelling of 264967200000 in words is "two hundred sixty-four billion, nine hundred sixty-seven million, two hundred thousand".