63345632688 has 320 divisors, whose sum is σ = 199930536960. Its totient is φ = 19323982080.

The previous prime is 63345632681. The next prime is 63345632719. The reversal of 63345632688 is 88623654336.

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

It is not an unprimeable number, because it can be changed into a prime (63345632681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59590845 + ... + 59591907.

It is an arithmetic number, because the mean of its divisors is an integer number (624782928).

Almost surely, 2^63345632688 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 63345632688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99965268480).

63345632688 is an abundant number, since it is smaller than the sum of its proper divisors (136584904272).

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

63345632688 is a wasteful number, since it uses less digits than its factorization.

63345632688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1212 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 63345632688 in words is "sixty-three billion, three hundred forty-five million, six hundred thirty-two thousand, six hundred eighty-eight".