263484688320 has 448 divisors, whose sum is σ = 1079733273600. Its totient is φ = 59236945920.

The previous prime is 263484688319. The next prime is 263484688349. The reversal of 263484688320 is 23886484362.

263484688320 is a `hidden beast` number, since 2 + 6 + 3 + 484 + 68 + 83 + 20 = 666.

263484688320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3653571 + ... + 3724989.

Almost surely, 2^263484688320 is an apocalyptic number.

263484688320 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 263484688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539866636800).

263484688320 is an abundant number, since it is smaller than the sum of its proper divisors (816248585280).

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

263484688320 is a wasteful number, since it uses less digits than its factorization.

263484688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71513 (or 71497 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 263484688320 in words is "two hundred sixty-three billion, four hundred eighty-four million, six hundred eighty-eight thousand, three hundred twenty".