264489951559680 has 3648 divisors, whose sum is σ = 1223491578209280. Its totient is φ = 52659486720000.

The previous prime is 264489951559667. The next prime is 264489951559721. The reversal of 264489951559680 is 86955159984462.

264489951559680 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 8 + 9 + 9 + 5 + 15 + 596 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 264489951559680.

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 191 ways as a sum of consecutive naturals, for example, 2618712391630 + ... + 2618712391730.

Almost surely, 2^{264489951559680} is an apocalyptic number.

264489951559680 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 264489951559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611745789104640).

264489951559680 is an abundant number, since it is smaller than the sum of its proper divisors (959001626649600).

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

264489951559680 is an equidigital number, since it uses as much as digits as its factorization.

264489951559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6718464000, while the sum is 81.

The spelling of 264489951559680 in words is "two hundred sixty-four trillion, four hundred eighty-nine billion, nine hundred fifty-one million, five hundred fifty-nine thousand, six hundred eighty".