216671630400 has 441 divisors, whose sum is σ = 801214732213. Its totient is φ = 57645043200.

The previous prime is 216671630359. The next prime is 216671630431. The reversal of 216671630400 is 4036176612.

It is a happy number.

The square root of 216671630400 is 465480.

It is a perfect power (a square), and thus also a powerful number.

216671630400 is a `hidden beast` number, since 2 + 16 + 6 + 7 + 1 + 630 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78001786944 + 138669843456 = 279288^2 + 372384^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 502718185 + ... + 502718615.

Almost surely, 2^216671630400 is an apocalyptic number.

216671630400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

216671630400 is the 465480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216671630400

216671630400 is an abundant number, since it is smaller than the sum of its proper divisors (584543101813).

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

216671630400 is an frugal number, since it uses more digits than its factorization.

216671630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 216671630400 by its sum of digits (36), we get a square (7800178694400 = 2792880²).

216671630400 divided by its sum of digits (36) gives a square (6018656400 = 77580²).

The spelling of 216671630400 in words is "two hundred sixteen billion, six hundred seventy-one million, six hundred thirty thousand, four hundred".