63642009600000 has 1584 divisors, whose sum is σ = 250462501655184. Its totient is φ = 15476981760000.

The previous prime is 63642009599983. The next prime is 63642009600023. The reversal of 63642009600000 is 690024636.

63642009600000 is a `hidden beast` number, since 6 + 3 + 6 + 42 + 0 + 0 + 9 + 600 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 766771199959 + ... + 766771200041.

Almost surely, 2^{63642009600000} is an apocalyptic number.

63642009600000 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 63642009600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125231250827592).

63642009600000 is an abundant number, since it is smaller than the sum of its proper divisors (186820492055184).

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

63642009600000 is an frugal number, since it uses more digits than its factorization.

63642009600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 63642009600000 its reverse (690024636), we get a palindrome (63642699624636).

The spelling of 63642009600000 in words is "sixty-three trillion, six hundred forty-two billion, nine million, six hundred thousand".