263884742640 has 480 divisors, whose sum is σ = 1001957299200. Its totient is φ = 61874233344.

The previous prime is 263884742633. The next prime is 263884742689. The reversal of 263884742640 is 46247488362.

263884742640 is a `hidden beast` number, since 2 + 63 + 88 + 47 + 426 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12094461 + ... + 12116259.

It is an arithmetic number, because the mean of its divisors is an integer number (2087411040).

Almost surely, 2^263884742640 is an apocalyptic number.

263884742640 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 263884742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500978649600).

263884742640 is an abundant number, since it is smaller than the sum of its proper divisors (738072556560).

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

263884742640 is a wasteful number, since it uses less digits than its factorization.

263884742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21901 (or 21892 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 263884742640 in words is "two hundred sixty-three billion, eight hundred eighty-four million, seven hundred forty-two thousand, six hundred forty".