219468064320 has 672 divisors, whose sum is σ = 789898892640. Its totient is φ = 55897620480.

The previous prime is 219468064213. The next prime is 219468064327. The reversal of 219468064320 is 23460864912.

219468064320 is a `hidden beast` number, since 2 + 194 + 6 + 80 + 64 + 320 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 99164529216 + 120303535104 = 314904^2 + 346848^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (219468064327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1397885682 + ... + 1397885838.

Almost surely, 2^219468064320 is an apocalyptic number.

219468064320 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 219468064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394949446320).

219468064320 is an abundant number, since it is smaller than the sum of its proper divisors (570430828320).

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

219468064320 is a wasteful number, since it uses less digits than its factorization.

219468064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 219468064320 in words is "two hundred nineteen billion, four hundred sixty-eight million, sixty-four thousand, three hundred twenty".