63417436992 has 504 divisors, whose sum is σ = 228865212576. Its totient is φ = 16641386496.

The previous prime is 63417436981. The next prime is 63417437009. The reversal of 63417436992 is 29963471436.

It is a happy number.

63417436992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

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, 112641703 + ... + 112642265.

It is an arithmetic number, because the mean of its divisors is an integer number (454097644).

Almost surely, 2^63417436992 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 63417436992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114432606288).

63417436992 is an abundant number, since it is smaller than the sum of its proper divisors (165447775584).

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

63417436992 is a wasteful number, since it uses less digits than its factorization.

63417436992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 895 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 63417436992 in words is "sixty-three billion, four hundred seventeen million, four hundred thirty-six thousand, nine hundred ninety-two".