216647464320 has 512 divisors, whose sum is σ = 885470976000. Its totient is φ = 49035829248.

The previous prime is 216647464303. The next prime is 216647464367. The reversal of 216647464320 is 23464746612.

216647464320 is a `hidden beast` number, since 2 + 166 + 4 + 7 + 464 + 3 + 20 = 666.

It is a super-2 number, since 2×216647464320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12450186 + ... + 12467574.

It is an arithmetic number, because the mean of its divisors is an integer number (1729435500).

Almost surely, 2^216647464320 is an apocalyptic number.

216647464320 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 216647464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442735488000).

216647464320 is an abundant number, since it is smaller than the sum of its proper divisors (668823511680).

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

216647464320 is a wasteful number, since it uses less digits than its factorization.

216647464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17527 (or 17509 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 216647464320 in words is "two hundred sixteen billion, six hundred forty-seven million, four hundred sixty-four thousand, three hundred twenty".