63648643968 has 768 divisors, whose sum is σ = 237025152000. Its totient is φ = 16554295296.

The previous prime is 63648643963. The next prime is 63648644021. The reversal of 63648643968 is 86934684636.

63648643968 is a `hidden beast` number, since 6 + 3 + 64 + 86 + 439 + 68 = 666.

It is a super-2 number, since 2×63648643968² (a number of 22 digits) contains 22 as substring.

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

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 (63648643963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319842333 + ... + 319842531.

It is an arithmetic number, because the mean of its divisors is an integer number (308626500).

Almost surely, 2^63648643968 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 63648643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118512576000).

63648643968 is an abundant number, since it is smaller than the sum of its proper divisors (173376508032).

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

63648643968 is a wasteful number, since it uses less digits than its factorization.

63648643968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 337 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 63648643968 in words is "sixty-three billion, six hundred forty-eight million, six hundred forty-three thousand, nine hundred sixty-eight".