63234680800896 has 1792 divisors, whose sum is σ = 221450795827200. Its totient is φ = 17925197875200.

The previous prime is 63234680800871. The next prime is 63234680800903. The reversal of 63234680800896 is 69800808643236.

63234680800896 is a `hidden beast` number, since 6 + 3 + 2 + 3 + 468 + 0 + 80 + 0 + 8 + 96 = 666.

It is a super-3 number, since 3×63234680800896³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 299690430231 + ... + 299690430441.

Almost surely, 2^{63234680800896} is an apocalyptic number.

63234680800896 is a gapful number since it is divisible by the number (66) 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 63234680800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110725397913600).

63234680800896 is an abundant number, since it is smaller than the sum of its proper divisors (158216115026304).

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

63234680800896 is a wasteful number, since it uses less digits than its factorization.

63234680800896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 63234680800896 in words is "sixty-three trillion, two hundred thirty-four billion, six hundred eighty million, eight hundred thousand, eight hundred ninety-six".