216762137374000 has 200 divisors, whose sum is σ = 553249670433408. Its totient is φ = 82141342761600.

The previous prime is 216762137373923. The next prime is 216762137374007. The reversal of 216762137374000 is 473731267612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (216762137374007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 260226177 + ... + 261057823.

Almost surely, 2^{216762137374000} is an apocalyptic number.

216762137374000 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 216762137374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276624835216704).

216762137374000 is an abundant number, since it is smaller than the sum of its proper divisors (336487533059408).

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

216762137374000 is an frugal number, since it uses more digits than its factorization.

216762137374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831746 (or 831673 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 49.

The spelling of 216762137374000 in words is "two hundred sixteen trillion, seven hundred sixty-two billion, one hundred thirty-seven million, three hundred seventy-four thousand".