264906794880 has 2304 divisors, whose sum is σ = 1261651023360. Its totient is φ = 50536120320.

The previous prime is 264906794869. The next prime is 264906794921. The reversal of 264906794880 is 88497609462.

264906794880 is a `hidden beast` number, since 2 + 6 + 4 + 90 + 67 + 9 + 488 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1933626172 + ... + 1933626308.

It is an arithmetic number, because the mean of its divisors is an integer number (547591590).

Almost surely, 2^264906794880 is an apocalyptic number.

264906794880 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 264906794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630825511680).

264906794880 is an abundant number, since it is smaller than the sum of its proper divisors (996744228480).

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

264906794880 is a wasteful number, since it uses less digits than its factorization.

264906794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

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

The spelling of 264906794880 in words is "two hundred sixty-four billion, nine hundred six million, seven hundred ninety-four thousand, eight hundred eighty".