63661178880 has 896 divisors, whose sum is σ = 252709775640. Its totient is φ = 15288238080.

The previous prime is 63661178869. The next prime is 63661178887. The reversal of 63661178880 is 8887116636.

It can be written as a sum of positive squares in 4 ways, for example, as 22084337664 + 41576841216 = 148608^2 + 203904^2 .

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 (63661178887) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1552711660 + ... + 1552711700.

Almost surely, 2^63661178880 is an apocalyptic number.

63661178880 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 63661178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126354887820).

63661178880 is an abundant number, since it is smaller than the sum of its proper divisors (189048596760).

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

63661178880 is an frugal number, since it uses more digits than its factorization.

63661178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 63661178880 in words is "sixty-three billion, six hundred sixty-one million, one hundred seventy-eight thousand, eight hundred eighty".