264788084232 has 192 divisors, whose sum is σ = 839542704000. Its totient is φ = 73815017472.

The previous prime is 264788084201. The next prime is 264788084257. The reversal of 264788084232 is 232480887462.

264788084232 is a `hidden beast` number, since 26 + 478 + 80 + 8 + 42 + 32 = 666.

It is a super-2 number, since 2×264788084232² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 21860994 + ... + 21873102.

It is an arithmetic number, because the mean of its divisors is an integer number (4372618250).

Almost surely, 2^264788084232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264788084232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419771352000).

264788084232 is an abundant number, since it is smaller than the sum of its proper divisors (574754619768).

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

264788084232 is a wasteful number, since it uses less digits than its factorization.

264788084232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13180 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 264788084232 in words is "two hundred sixty-four billion, seven hundred eighty-eight million, eighty-four thousand, two hundred thirty-two".