63433380096 has 288 divisors, whose sum is σ = 190729728000. Its totient is φ = 20793231360.

The previous prime is 63433380061. The next prime is 63433380161. The reversal of 63433380096 is 69008333436.

63433380096 is a `hidden beast` number, since 634 + 3 + 3 + 3 + 8 + 0 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147177001 + ... + 147177431.

It is an arithmetic number, because the mean of its divisors is an integer number (662256000).

Almost surely, 2^63433380096 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 63433380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95364864000).

63433380096 is an abundant number, since it is smaller than the sum of its proper divisors (127296347904).

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

63433380096 is a wasteful number, since it uses less digits than its factorization.

63433380096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 63433380096 in words is "sixty-three billion, four hundred thirty-three million, three hundred eighty thousand, ninety-six".