263201721615640 has 64 divisors (see below), whose sum is σ = 604829505945600. Its totient is φ = 103036321051008.

The previous prime is 263201721615607. The next prime is 263201721615647. The reversal of 263201721615640 is 46516127102362.

263201721615640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×263201721615640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263201721615647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41736681 + ... + 47627239.

It is an arithmetic number, because the mean of its divisors is an integer number (9450461030400).

Almost surely, 2^{263201721615640} is an apocalyptic number.

263201721615640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263201721615640 is an abundant number, since it is smaller than the sum of its proper divisors (341627784329960).

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

263201721615640 is a wasteful number, since it uses less digits than its factorization.

263201721615640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914384 (or 5914380 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 263201721615640 in words is "two hundred sixty-three trillion, two hundred one billion, seven hundred twenty-one million, six hundred fifteen thousand, six hundred forty".