63864006048 has 108 divisors (see below), whose sum is σ = 183833452530. Its totient is φ = 21030866688.

The previous prime is 63864006043. The next prime is 63864006071. The reversal of 63864006048 is 84060046836.

63864006048 is a `hidden beast` number, since 6 + 38 + 6 + 4 + 0 + 0 + 604 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58577552784 + 5286453264 = 242028^2 + 72708^2 .

It is a super-2 number, since 2×63864006048² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63864005994 and 63864006012.

It is not an unprimeable number, because it can be changed into a prime (63864006043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1967938 + ... + 2000126.

Almost surely, 2^63864006048 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 63864006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91916726265).

63864006048 is an abundant number, since it is smaller than the sum of its proper divisors (119969446482).

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

63864006048 is a wasteful number, since it uses less digits than its factorization.

63864006048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32371 (or 32277 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 63864006048 in words is "sixty-three billion, eight hundred sixty-four million, six thousand, forty-eight".