63766466736 has 120 divisors (see below), whose sum is σ = 192911871600. Its totient is φ = 18096615936.

The previous prime is 63766466719. The next prime is 63766466747.

63766466736 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 63766466736.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259470 + ... + 441426.

It is an arithmetic number, because the mean of its divisors is an integer number (1607598930).

Almost surely, 2^63766466736 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 63766466736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96455935800).

63766466736 is an abundant number, since it is smaller than the sum of its proper divisors (129145404864).

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

63766466736 is a wasteful number, since it uses less digits than its factorization.

63766466736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182131 (or 182118 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 60.

The spelling of 63766466736 in words is "sixty-three billion, seven hundred sixty-six million, four hundred sixty-six thousand, seven hundred thirty-six".