217113920640 has 1024 divisors, whose sum is σ = 837568512000. Its totient is φ = 53012348928.

The previous prime is 217113920633. The next prime is 217113920659. The reversal of 217113920640 is 46029311712.

217113920640 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 1 + 3 + 9 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 217113920595 and 217113920604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1102101022 + ... + 1102101218.

It is an arithmetic number, because the mean of its divisors is an integer number (817938000).

Almost surely, 2^217113920640 is an apocalyptic number.

217113920640 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 217113920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418784256000).

217113920640 is an abundant number, since it is smaller than the sum of its proper divisors (620454591360).

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

217113920640 is a wasteful number, since it uses less digits than its factorization.

217113920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 217113920640 in words is "two hundred seventeen billion, one hundred thirteen million, nine hundred twenty thousand, six hundred forty".