216962409664 has 448 divisors, whose sum is σ = 591208611840. Its totient is φ = 76276961280.

The previous prime is 216962409661. The next prime is 216962409709. The reversal of 216962409664 is 466904269612.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (216962409661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 824951997 + ... + 824952259.

It is an arithmetic number, because the mean of its divisors is an integer number (1319662080).

Almost surely, 2^216962409664 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 216962409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295604305920).

216962409664 is an abundant number, since it is smaller than the sum of its proper divisors (374246202176).

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

216962409664 is a wasteful number, since it uses less digits than its factorization.

216962409664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

It can be divided in two parts, 216962 and 409664, that added together give a palindrome (626626).

The spelling of 216962409664 in words is "two hundred sixteen billion, nine hundred sixty-two million, four hundred nine thousand, six hundred sixty-four".