263506016640 has 256 divisors, whose sum is σ = 899335224000. Its totient is φ = 65391034368.

The previous prime is 263506016593. The next prime is 263506016647. The reversal of 263506016640 is 46610605362.

263506016640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263506016647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2859606 + ... + 2950314.

Almost surely, 2^263506016640 is an apocalyptic number.

263506016640 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 263506016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449667612000).

263506016640 is an abundant number, since it is smaller than the sum of its proper divisors (635829207360).

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

263506016640 is a wasteful number, since it uses less digits than its factorization.

263506016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90837 (or 90825 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 263506016640 in words is "two hundred sixty-three billion, five hundred six million, sixteen thousand, six hundred forty".