63273123135936 has 1008 divisors, whose sum is σ = 220089320755200. Its totient is φ = 17371138176000.

The previous prime is 63273123135919. The next prime is 63273123135991. The reversal of 63273123135936 is 63953132137236.

63273123135936 is a `hidden beast` number, since 6 + 3 + 2 + 7 + 3 + 12 + 31 + 3 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×63273123135936² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28669288945 + ... + 28669291151.

Almost surely, 2^{63273123135936} 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 63273123135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110044660377600).

63273123135936 is an abundant number, since it is smaller than the sum of its proper divisors (156816197619264).

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

63273123135936 is a wasteful number, since it uses less digits than its factorization.

63273123135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2401 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 54.

The spelling of 63273123135936 in words is "sixty-three trillion, two hundred seventy-three billion, one hundred twenty-three million, one hundred thirty-five thousand, nine hundred thirty-six".