63820089216 has 768 divisors, whose sum is σ = 220408128000. Its totient is φ = 18341406720.

The previous prime is 63820089211. The next prime is 63820089227. The reversal of 63820089216 is 61298002836.

63820089216 is a `hidden beast` number, since 638 + 2 + 0 + 0 + 8 + 9 + 2 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63820089211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 898874461 + ... + 898874531.

It is an arithmetic number, because the mean of its divisors is an integer number (286989750).

Almost surely, 2^63820089216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63820089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110204064000).

63820089216 is an abundant number, since it is smaller than the sum of its proper divisors (156588038784).

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

63820089216 is an equidigital number, since it uses as much as digits as its factorization.

63820089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 63820089216 in words is "sixty-three billion, eight hundred twenty million, eighty-nine thousand, two hundred sixteen".