216729976320 has 800 divisors, whose sum is σ = 912092559840. Its totient is φ = 48492380160.

The previous prime is 216729976271. The next prime is 216729976367. The reversal of 216729976320 is 23679927612.

216729976320 is a `hidden beast` number, since 2 + 167 + 2 + 99 + 76 + 320 = 666.

It is a super-3 number, since 3×216729976320³ (a number of 35 digits) contains 333 as substring.

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 79 ways as a sum of consecutive naturals, for example, 29648826 + ... + 29656134.

Almost surely, 2^216729976320 is an apocalyptic number.

216729976320 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 216729976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456046279920).

216729976320 is an abundant number, since it is smaller than the sum of its proper divisors (695362583520).

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

216729976320 is a wasteful number, since it uses less digits than its factorization.

216729976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 216729976320 in words is "two hundred sixteen billion, seven hundred twenty-nine million, nine hundred seventy-six thousand, three hundred twenty".