216576067356 has 384 divisors, whose sum is σ = 658409472000. Its totient is φ = 60840115200.

The previous prime is 216576067349. The next prime is 216576067381. The reversal of 216576067356 is 653760675612.

216576067356 is a `hidden beast` number, since 2 + 1 + 6 + 576 + 0 + 67 + 3 + 5 + 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 127 ways as a sum of consecutive naturals, for example, 502496461 + ... + 502496891.

It is an arithmetic number, because the mean of its divisors is an integer number (1714608000).

Almost surely, 2^216576067356 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 216576067356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329204736000).

216576067356 is an abundant number, since it is smaller than the sum of its proper divisors (441833404644).

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

216576067356 is a wasteful number, since it uses less digits than its factorization.

216576067356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 216576067356 in words is "two hundred sixteen billion, five hundred seventy-six million, sixty-seven thousand, three hundred fifty-six".