263964672 has 72 divisors (see below), whose sum is σ = 762431670. Its totient is φ = 87982080.

The previous prime is 263964653. The next prime is 263964691. The reversal of 263964672 is 276469362.

263964672 is a `hidden beast` number, since 2 + 639 + 6 + 4 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (263964653) and next prime (263964691).

It can be written as a sum of positive squares in only one way, i.e., 263218176 + 746496 = 16224^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11272 + ... + 25592.

Almost surely, 2^263964672 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 263964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381215835).

263964672 is an abundant number, since it is smaller than the sum of its proper divisors (498466998).

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

263964672 is a wasteful number, since it uses less digits than its factorization.

263964672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14349 (or 14326 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 263964672 is about 16246.9896288512. The cubic root of 263964672 is about 641.4782496285.

The spelling of 263964672 in words is "two hundred sixty-three million, nine hundred sixty-four thousand, six hundred seventy-two".