63648843600 has 120 divisors (see below), whose sum is σ = 205109997120. Its totient is φ = 16871336960.

The previous prime is 63648843553. The next prime is 63648843613. The reversal of 63648843600 is 634884636.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 63648843600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41596 + ... + 359204.

It is an arithmetic number, because the mean of its divisors is an integer number (1709249976).

Almost surely, 2^63648843600 is an apocalyptic number.

63648843600 is a gapful number since it is divisible by the number (60) 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 63648843600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102554998560).

63648843600 is an abundant number, since it is smaller than the sum of its proper divisors (141461153520).

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

63648843600 is a wasteful number, since it uses less digits than its factorization.

63648843600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317797 (or 317786 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 63648843600 in words is "sixty-three billion, six hundred forty-eight million, eight hundred forty-three thousand, six hundred".