216733327937280 has 1296 divisors, whose sum is σ = 968261993846784. Its totient is φ = 43482398883840.

The previous prime is 216733327937267. The next prime is 216733327937299. The reversal of 216733327937280 is 82739723337612.

216733327937280 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 333 + 279 + 3 + 7 + 28 + 0 = 666.

It is a super-2 number, since 2×216733327937280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 745855377 + ... + 746145903.

Almost surely, 2^{216733327937280} is an apocalyptic number.

216733327937280 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 216733327937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484130996923392).

216733327937280 is an abundant number, since it is smaller than the sum of its proper divisors (751528665909504).

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

216733327937280 is a wasteful number, since it uses less digits than its factorization.

216733327937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290630 (or 290584 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 63.

The spelling of 216733327937280 in words is "two hundred sixteen trillion, seven hundred thirty-three billion, three hundred twenty-seven million, nine hundred thirty-seven thousand, two hundred eighty".