216768250776 has 256 divisors, whose sum is σ = 719779737600. Its totient is φ = 52696742400.

The previous prime is 216768250771. The next prime is 216768250799. The reversal of 216768250776 is 677052867612.

216768250776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216768250771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2877106 + ... + 2951486.

It is an arithmetic number, because the mean of its divisors is an integer number (2811639600).

Almost surely, 2^216768250776 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 216768250776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359889868800).

216768250776 is an abundant number, since it is smaller than the sum of its proper divisors (503011486824).

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

216768250776 is a wasteful number, since it uses less digits than its factorization.

216768250776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74510 (or 74506 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 216768250776 in words is "two hundred sixteen billion, seven hundred sixty-eight million, two hundred fifty thousand, seven hundred seventy-six".