63783935761728 has 896 divisors, whose sum is σ = 222014695440384. Its totient is φ = 15699756441600.

The previous prime is 63783935761717. The next prime is 63783935761757. The reversal of 63783935761728 is 82716753938736.

It is a super-2 number, since 2×63783935761728² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 63783935761728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26455384843 + ... + 26455387253.

It is an arithmetic number, because the mean of its divisors is an integer number (247784258304).

Almost surely, 2^{63783935761728} 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 63783935761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111007347720192).

63783935761728 is an abundant number, since it is smaller than the sum of its proper divisors (158230759678656).

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

63783935761728 is a wasteful number, since it uses less digits than its factorization.

63783935761728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4033 counting only the distinct ones).

The product of its digits is 1920360960, while the sum is 75.

The spelling of 63783935761728 in words is "sixty-three trillion, seven hundred eighty-three billion, nine hundred thirty-five million, seven hundred sixty-one thousand, seven hundred twenty-eight".