63728069328 has 1200 divisors, whose sum is σ = 255185631360. Its totient is φ = 14892595200.

The previous prime is 63728069297. The next prime is 63728069351. The reversal of 63728069328 is 82396082736.

It is a happy number.

63728069328 is a `hidden beast` number, since 6 + 37 + 280 + 6 + 9 + 328 = 666.

It is a super-2 number, since 2×63728069328² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1044722418 + ... + 1044722478.

Almost surely, 2^63728069328 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 63728069328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127592815680).

63728069328 is an abundant number, since it is smaller than the sum of its proper divisors (191457562032).

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

63728069328 is a wasteful number, since it uses less digits than its factorization.

63728069328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 63728069328 in words is "sixty-three billion, seven hundred twenty-eight million, sixty-nine thousand, three hundred twenty-eight".