264785628672 has 480 divisors, whose sum is σ = 839371991040. Its totient is φ = 82396938240.

The previous prime is 264785628599. The next prime is 264785628673. The reversal of 264785628672 is 276826587462.

264785628672 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 8 + 562 + 8 + 67 + 2 = 666.

It is a super-2 number, since 2×264785628672² (a number of 24 digits) contains 22 as substring.

Its product of digits (108380160) is a multiple of the sum of its prime divisors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264785628673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763070803 + ... + 763071149.

It is an arithmetic number, because the mean of its divisors is an integer number (1748691648).

Almost surely, 2^264785628672 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 264785628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419685995520).

264785628672 is an abundant number, since it is smaller than the sum of its proper divisors (574586362368).

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

264785628672 is a wasteful number, since it uses less digits than its factorization.

264785628672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 560 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 264785628672 in words is "two hundred sixty-four billion, seven hundred eighty-five million, six hundred twenty-eight thousand, six hundred seventy-two".