63765793728 has 896 divisors, whose sum is σ = 242367856640. Its totient is φ = 15989944320.

The previous prime is 63765793727. The next prime is 63765793801. The reversal of 63765793728 is 82739756736.

63765793728 is a `hidden beast` number, since 6 + 3 + 7 + 6 + 579 + 37 + 28 = 666.

It is a super-3 number, since 3×63765793728³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63765793723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 502092801 + ... + 502092927.

It is an arithmetic number, because the mean of its divisors is an integer number (270499840).

Almost surely, 2^63765793728 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 63765793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121183928320).

63765793728 is an abundant number, since it is smaller than the sum of its proper divisors (178602062912).

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

63765793728 is a wasteful number, since it uses less digits than its factorization.

63765793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 63.

The spelling of 63765793728 in words is "sixty-three billion, seven hundred sixty-five million, seven hundred ninety-three thousand, seven hundred twenty-eight".