263309084640 has 1344 divisors, whose sum is σ = 1121980833792. Its totient is φ = 57106944000.

The previous prime is 263309084617. The next prime is 263309084651. The reversal of 263309084640 is 46480903362.

263309084640 is a `hidden beast` number, since 2 + 633 + 0 + 9 + 0 + 8 + 4 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2556398829 + ... + 2556398931.

It is an arithmetic number, because the mean of its divisors is an integer number (834807168).

Almost surely, 2^263309084640 is an apocalyptic number.

263309084640 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 263309084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560990416896).

263309084640 is an abundant number, since it is smaller than the sum of its proper divisors (858671749152).

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

263309084640 is a wasteful number, since it uses less digits than its factorization.

263309084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 263309084640 in words is "two hundred sixty-three billion, three hundred nine million, eighty-four thousand, six hundred forty".