217828598064 has 640 divisors, whose sum is σ = 757296291840. Its totient is φ = 52254720000.

The previous prime is 217828598051. The next prime is 217828598087. The reversal of 217828598064 is 460895828712.

It is a junction number, because it is equal to n+sod(n) for n = 217828597989 and 217828598007.

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, 903852984 + ... + 903853224.

It is an arithmetic number, because the mean of its divisors is an integer number (1183275456).

Almost surely, 2^217828598064 is an apocalyptic number.

217828598064 is a gapful number since it is divisible by the number (24) 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 217828598064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378648145920).

217828598064 is an abundant number, since it is smaller than the sum of its proper divisors (539467693776).

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

217828598064 is a wasteful number, since it uses less digits than its factorization.

217828598064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 217828598064 in words is "two hundred seventeen billion, eight hundred twenty-eight million, five hundred ninety-eight thousand, sixty-four".