63661852800 has 960 divisors, whose sum is σ = 289247112000. Its totient is φ = 13426974720.

The previous prime is 63661852781. The next prime is 63661852819. The reversal of 63661852800 is 825816636.

63661852800 is a `hidden beast` number, since 6 + 3 + 6 + 618 + 5 + 28 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63661852781) and next prime (63661852819).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23585851 + ... + 23588549.

It is an arithmetic number, because the mean of its divisors is an integer number (301299075).

Almost surely, 2^63661852800 is an apocalyptic number.

63661852800 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 63661852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144623556000).

63661852800 is an abundant number, since it is smaller than the sum of its proper divisors (225585259200).

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

63661852800 is a wasteful number, since it uses less digits than its factorization.

63661852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 63661852800 in words is "sixty-three billion, six hundred sixty-one million, eight hundred fifty-two thousand, eight hundred".