63216684000 has 288 divisors, whose sum is σ = 224698035744. Its totient is φ = 16832102400.

The previous prime is 63216683951. The next prime is 63216684059. The reversal of 63216684000 is 48661236.

63216684000 is a `hidden beast` number, since 632 + 16 + 6 + 8 + 4 + 0 + 0 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 41507239 + ... + 41508761.

It is an arithmetic number, because the mean of its divisors is an integer number (780201513).

Almost surely, 2^63216684000 is an apocalyptic number.

63216684000 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 63216684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112349017872).

63216684000 is an abundant number, since it is smaller than the sum of its proper divisors (161481351744).

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

63216684000 is a wasteful number, since it uses less digits than its factorization.

63216684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 63216684000 in words is "sixty-three billion, two hundred sixteen million, six hundred eighty-four thousand".