216413340660 has 144 divisors (see below), whose sum is σ = 716493697920. Its totient is φ = 52437300480.

The previous prime is 216413340631. The next prime is 216413340667. The reversal of 216413340660 is 66043314612.

216413340660 is a `hidden beast` number, since 2 + 1 + 64 + 133 + 406 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216413340667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4038321 + ... + 4091559.

It is an arithmetic number, because the mean of its divisors is an integer number (4975650680).

Almost surely, 2^216413340660 is an apocalyptic number.

216413340660 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 216413340660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358246848960).

216413340660 is an abundant number, since it is smaller than the sum of its proper divisors (500080357260).

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

216413340660 is a wasteful number, since it uses less digits than its factorization.

216413340660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55318 (or 55313 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 216413340660 in words is "two hundred sixteen billion, four hundred thirteen million, three hundred forty thousand, six hundred sixty".