216862208640 has 1152 divisors, whose sum is σ = 991950261120. Its totient is φ = 43088855040.

The previous prime is 216862208639. The next prime is 216862208659. The reversal of 216862208640 is 46802268612.

216862208640 is a `hidden beast` number, since 2 + 16 + 8 + 622 + 0 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71405202 + ... + 71408238.

It is an arithmetic number, because the mean of its divisors is an integer number (861067935).

Almost surely, 2^216862208640 is an apocalyptic number.

216862208640 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 216862208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495975130560).

216862208640 is an abundant number, since it is smaller than the sum of its proper divisors (775088052480).

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

216862208640 is a wasteful number, since it uses less digits than its factorization.

216862208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 216862208640 in words is "two hundred sixteen billion, eight hundred sixty-two million, two hundred eight thousand, six hundred forty".