263840941634688 has 384 divisors, whose sum is σ = 859020700262400. Its totient is φ = 77005990656000.

The previous prime is 263840941634623. The next prime is 263840941634713. The reversal of 263840941634688 is 886436149048362.

263840941634688 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 409 + 41 + 63 + 46 + 88 = 666.

263840941634688 is digitally balanced in base 2 and base 4, because in such bases 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 (384).

It is a super-2 number, since 2×263840941634688² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81295993 + ... + 84479111.

It is an arithmetic number, because the mean of its divisors is an integer number (2237033073600).

Almost surely, 2^{263840941634688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263840941634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429510350131200).

263840941634688 is an abundant number, since it is smaller than the sum of its proper divisors (595179758627712).

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

263840941634688 is a wasteful number, since it uses less digits than its factorization.

263840941634688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183392 (or 3183377 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 263840941634688 in words is "two hundred sixty-three trillion, eight hundred forty billion, nine hundred forty-one million, six hundred thirty-four thousand, six hundred eighty-eight".