216006032246400 has 576 divisors, whose sum is σ = 841164666301440. Its totient is φ = 52344133632000.

The previous prime is 216006032246357. The next prime is 216006032246441. The reversal of 216006032246400 is 4642230600612.

216006032246400 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 0 + 6 + 0 + 3 + 2 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 798517569 + ... + 798788031.

It is an arithmetic number, because the mean of its divisors is an integer number (1460355323440).

Almost surely, 2^{216006032246400} is an apocalyptic number.

216006032246400 is a gapful number since it is divisible by the number (20) 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 216006032246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420582333150720).

216006032246400 is an abundant number, since it is smaller than the sum of its proper divisors (625158634055040).

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

216006032246400 is a wasteful number, since it uses less digits than its factorization.

216006032246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273025 (or 273005 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 216006032246400 in words is "two hundred sixteen trillion, six billion, thirty-two million, two hundred forty-six thousand, four hundred".