216507422376 has 288 divisors, whose sum is σ = 726864713640. Its totient is φ = 57847136256.

The previous prime is 216507422333. The next prime is 216507422389. The reversal of 216507422376 is 673224705612.

216507422376 is a `hidden beast` number, since 2 + 16 + 507 + 42 + 23 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 209696221476 + 6811200900 = 457926^2 + 82530^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9404736 + ... + 9427728.

Almost surely, 2^216507422376 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 216507422376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363432356820).

216507422376 is an abundant number, since it is smaller than the sum of its proper divisors (510357291264).

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

216507422376 is a wasteful number, since it uses less digits than its factorization.

216507422376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23193 (or 23179 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 216507422376 in words is "two hundred sixteen billion, five hundred seven million, four hundred twenty-two thousand, three hundred seventy-six".