217680007000 has 32 divisors (see below), whose sum is σ = 509371218720. Its totient is φ = 87072002400.

The previous prime is 217680006997. The next prime is 217680007003. The reversal of 217680007000 is 700086712.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (217680006997) and next prime (217680007003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217680007003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108839004 + ... + 108841003.

It is an arithmetic number, because the mean of its divisors is an integer number (15917850585).

Almost surely, 2^217680007000 is an apocalyptic number.

217680007000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217680007000 is an abundant number, since it is smaller than the sum of its proper divisors (291691211720).

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

217680007000 is a wasteful number, since it uses less digits than its factorization.

217680007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217680028 (or 217680014 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 217680007000 in words is "two hundred seventeen billion, six hundred eighty million, seven thousand".