216064464 has 160 divisors (see below), whose sum is σ = 709668864. Its totient is φ = 55011840.

The previous prime is 216064463. The next prime is 216064469. The reversal of 216064464 is 464460612.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216064463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195337 + ... + 196439.

Almost surely, 2^216064464 is an apocalyptic number.

216064464 is a gapful number since it is divisible by the number (24) 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 216064464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354834432).

216064464 is an abundant number, since it is smaller than the sum of its proper divisors (493604400).

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

216064464 is a wasteful number, since it uses less digits than its factorization.

216064464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 216064464 is about 14699.1314029095. The cubic root of 216064464 is about 600.0596829519.

The spelling of 216064464 in words is "two hundred sixteen million, sixty-four thousand, four hundred sixty-four".