216700323840 has 2688 divisors, whose sum is σ = 1082794003200. Its totient is φ = 40131624960.

The previous prime is 216700323821. The next prime is 216700323863. The reversal of 216700323840 is 48323007612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a junction number, because it is equal to n+sod(n) for n = 216700323795 and 216700323804.

It is a congruent number.

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, 7472424946 + ... + 7472424974.

It is an arithmetic number, because the mean of its divisors is an integer number (402825150).

Almost surely, 2^216700323840 is an apocalyptic number.

216700323840 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 216700323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541397001600).

216700323840 is an abundant number, since it is smaller than the sum of its proper divisors (866093679360).

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

216700323840 is a wasteful number, since it uses less digits than its factorization.

216700323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 216700323840 in words is "two hundred sixteen billion, seven hundred million, three hundred twenty-three thousand, eight hundred forty".