264676891680 has 384 divisors, whose sum is σ = 984624076800. Its totient is φ = 66214444032.

The previous prime is 264676891673. The next prime is 264676891681. The reversal of 264676891680 is 86198676462.

264676891680 is a `hidden beast` number, since 2 + 6 + 467 + 6 + 8 + 9 + 168 + 0 = 666.

264676891680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264676891681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8438587 + ... + 8469893.

It is an arithmetic number, because the mean of its divisors is an integer number (2564125200).

Almost surely, 2^264676891680 is an apocalyptic number.

264676891680 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 264676891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492312038400).

264676891680 is an abundant number, since it is smaller than the sum of its proper divisors (719947185120).

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

264676891680 is a wasteful number, since it uses less digits than its factorization.

264676891680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31453 (or 31439 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 264676891680 in words is "two hundred sixty-four billion, six hundred seventy-six million, eight hundred ninety-one thousand, six hundred eighty".