216767466736830 has 96 divisors (see below), whose sum is σ = 567456316435008. Its totient is φ = 57408841152000.

The previous prime is 216767466736829. The next prime is 216767466736889. The reversal of 216767466736830 is 38637664767612.

216767466736830 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 6 + 7 + 466 + 73 + 68 + 30 = 666.

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, 58277442 + ... + 61885338.

It is an arithmetic number, because the mean of its divisors is an integer number (5911003296198).

Almost surely, 2^{216767466736830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216767466736830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283728158217504).

216767466736830 is an abundant number, since it is smaller than the sum of its proper divisors (350688849698178).

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

216767466736830 is a wasteful number, since it uses less digits than its factorization.

216767466736830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612482 (or 3612479 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 72.

The spelling of 216767466736830 in words is "two hundred sixteen trillion, seven hundred sixty-seven billion, four hundred sixty-six million, seven hundred thirty-six thousand, eight hundred thirty".