216968074779240 has 96 divisors (see below), whose sum is σ = 705170625049800. Its totient is φ = 57856152698880.

The previous prime is 216968074779221. The next prime is 216968074779263. The reversal of 216968074779240 is 42977470869612.

216968074779240 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 68 + 0 + 7 + 477 + 92 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 197646089699556 + 19321985079684 = 14058666^2 + 4395678^2 .

It is a Smith number, since the sum of its digits (72) 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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20776 + ... + 20831144.

Almost surely, 2^{216968074779240} is an apocalyptic number.

216968074779240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216968074779240 is an abundant number, since it is smaller than the sum of its proper divisors (488202550270560).

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

216968074779240 is a wasteful number, since it uses less digits than its factorization.

216968074779240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20839347 (or 20839340 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 216968074779240 in words is "two hundred sixteen trillion, nine hundred sixty-eight billion, seventy-four million, seven hundred seventy-nine thousand, two hundred forty".