216753236928 has 140 divisors (see below), whose sum is σ = 643037647120. Its totient is φ = 72193379328.

The previous prime is 216753236923. The next prime is 216753236929. The reversal of 216753236928 is 829632357612.

216753236928 is a `hidden beast` number, since 2 + 16 + 7 + 532 + 3 + 6 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216753236923) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6738708 + ... + 6770796.

Almost surely, 2^216753236928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216753236928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321518823560).

216753236928 is an abundant number, since it is smaller than the sum of its proper divisors (426284410192).

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

216753236928 is a wasteful number, since it uses less digits than its factorization.

216753236928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33416 (or 33397 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 216753236928 in words is "two hundred sixteen billion, seven hundred fifty-three million, two hundred thirty-six thousand, nine hundred twenty-eight".