264781969920 has 480 divisors, whose sum is σ = 1001543647104. Its totient is φ = 64253952000.

The previous prime is 264781969853. The next prime is 264781969943. The reversal of 264781969920 is 29969187462.

264781969920 is a `hidden beast` number, since 2 + 6 + 478 + 19 + 69 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21259695 + ... + 21272145.

Almost surely, 2^264781969920 is an apocalyptic number.

264781969920 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 264781969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500771823552).

264781969920 is an abundant number, since it is smaller than the sum of its proper divisors (736761677184).

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

264781969920 is a wasteful number, since it uses less digits than its factorization.

264781969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12564 (or 12545 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 264781969920 in words is "two hundred sixty-four billion, seven hundred eighty-one million, nine hundred sixty-nine thousand, nine hundred twenty".