216625784832 has 384 divisors, whose sum is σ = 679311360000. Its totient is φ = 68067901440.

The previous prime is 216625784803. The next prime is 216625784867. The reversal of 216625784832 is 238487526612.

216625784832 is a `hidden beast` number, since 2 + 1 + 6 + 62 + 578 + 4 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×216625784832² (a number of 23 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 90297169 + ... + 90299567.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040000).

Almost surely, 2^216625784832 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 216625784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680000).

216625784832 is an abundant number, since it is smaller than the sum of its proper divisors (462685575168).

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

216625784832 is a wasteful number, since it uses less digits than its factorization.

216625784832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2498 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 216625784832 in words is "two hundred sixteen billion, six hundred twenty-five million, seven hundred eighty-four thousand, eight hundred thirty-two".