63418629888 has 432 divisors, whose sum is σ = 198473708160. Its totient is φ = 20176293888.

The previous prime is 63418629881. The next prime is 63418629899. The reversal of 63418629888 is 88892681436.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×63418629888² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63418629881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135799831 + ... + 135800297.

It is an arithmetic number, because the mean of its divisors is an integer number (459429880).

Almost surely, 2^63418629888 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 63418629888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99236854080).

63418629888 is an abundant number, since it is smaller than the sum of its proper divisors (135055078272).

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

63418629888 is an equidigital number, since it uses as much as digits as its factorization.

63418629888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 568 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 63418629888 in words is "sixty-three billion, four hundred eighteen million, six hundred twenty-nine thousand, eight hundred eighty-eight".