216027668507760 has 240 divisors, whose sum is σ = 726404203717920. Its totient is φ = 57535054848000.

The previous prime is 216027668507753. The next prime is 216027668507801. The reversal of 216027668507760 is 67705866720612.

216027668507760 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 2 + 7 + 6 + 68 + 507 + 7 + 60 = 666.

216027668507760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2370264271 + ... + 2370355409.

It is an arithmetic number, because the mean of its divisors is an integer number (3026684182158).

Almost surely, 2^{216027668507760} is an apocalyptic number.

216027668507760 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 216027668507760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363202101858960).

216027668507760 is an abundant number, since it is smaller than the sum of its proper divisors (510376535210160).

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

216027668507760 is a wasteful number, since it uses less digits than its factorization.

216027668507760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95256 (or 95247 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 216027668507760 in words is "two hundred sixteen trillion, twenty-seven billion, six hundred sixty-eight million, five hundred seven thousand, seven hundred sixty".