264874921920 has 1344 divisors, whose sum is σ = 1153587142656. Its totient is φ = 54393569280.

The previous prime is 264874921891. The next prime is 264874921933. The reversal of 264874921920 is 29129478462.

It is a happy number.

264874921920 is a `hidden beast` number, since 2 + 64 + 8 + 7 + 492 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1136802124 + ... + 1136802356.

Almost surely, 2^264874921920 is an apocalyptic number.

264874921920 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 264874921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576793571328).

264874921920 is an abundant number, since it is smaller than the sum of its proper divisors (888712220736).

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

264874921920 is a wasteful number, since it uses less digits than its factorization.

264874921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 264874921920 in words is "two hundred sixty-four billion, eight hundred seventy-four million, nine hundred twenty-one thousand, nine hundred twenty".