63648756336 has 320 divisors, whose sum is σ = 198067322880. Its totient is φ = 17385477120.

The previous prime is 63648756323. The next prime is 63648756337. The reversal of 63648756336 is 63365784636.

63648756336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63648756337) 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, 51453510 + ... + 51454746.

It is an arithmetic number, because the mean of its divisors is an integer number (618960384).

Almost surely, 2^63648756336 is an apocalyptic number.

63648756336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63648756336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99033661440).

63648756336 is an abundant number, since it is smaller than the sum of its proper divisors (134418566544).

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

63648756336 is a wasteful number, since it uses less digits than its factorization.

63648756336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1518 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 57.

The spelling of 63648756336 in words is "sixty-three billion, six hundred forty-eight million, seven hundred fifty-six thousand, three hundred thirty-six".