264825102608640 has 1728 divisors, whose sum is σ = 1108160252559360. Its totient is φ = 57108974469120.

The previous prime is 264825102608623. The next prime is 264825102608711. The reversal of 264825102608640 is 46806201528462.

264825102608640 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 2 + 510 + 2 + 6 + 0 + 86 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65893280551 + ... + 65893284569.

Almost surely, 2^{264825102608640} is an apocalyptic number.

264825102608640 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 264825102608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554080126279680).

264825102608640 is an abundant number, since it is smaller than the sum of its proper divisors (843335149950720).

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

264825102608640 is a wasteful number, since it uses less digits than its factorization.

264825102608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 264825102608640 in words is "two hundred sixty-four trillion, eight hundred twenty-five billion, one hundred two million, six hundred eight thousand, six hundred forty".