264612333847680 has 3072 divisors, whose sum is σ = 1168812726681600. Its totient is φ = 54003622772736.

The previous prime is 264612333847661. The next prime is 264612333847703. The reversal of 264612333847680 is 86748333216462.

264612333847680 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 123 + 3 + 38 + 476 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 483751981167 + ... + 483751981713.

It is an arithmetic number, because the mean of its divisors is an integer number (380472892800).

Almost surely, 2^{264612333847680} is an apocalyptic number.

264612333847680 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 264612333847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584406363340800).

264612333847680 is an abundant number, since it is smaller than the sum of its proper divisors (904200392833920).

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

264612333847680 is a wasteful number, since it uses less digits than its factorization.

264612333847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 264612333847680 in words is "two hundred sixty-four trillion, six hundred twelve billion, three hundred thirty-three million, eight hundred forty-seven thousand, six hundred eighty".