216760046976 has 512 divisors, whose sum is σ = 726926745600. Its totient is φ = 63004262400.

The previous prime is 216760046963. The next prime is 216760046981. The reversal of 216760046976 is 679640067612.

216760046976 is a `hidden beast` number, since 21 + 6 + 7 + 600 + 4 + 6 + 9 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102680161 + ... + 102682271.

It is an arithmetic number, because the mean of its divisors is an integer number (1419778800).

Almost surely, 2^216760046976 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 216760046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363463372800).

216760046976 is an abundant number, since it is smaller than the sum of its proper divisors (510166698624).

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

216760046976 is a wasteful number, since it uses less digits than its factorization.

216760046976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 216760046976 in words is "two hundred sixteen billion, seven hundred sixty million, forty-six thousand, nine hundred seventy-six".