219030379680 has 768 divisors, whose sum is σ = 861734522880. Its totient is φ = 45649723392.

The previous prime is 219030379679. The next prime is 219030379681. The reversal of 219030379680 is 86973030912.

219030379680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (219030379679) and next prime (219030379681).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (219030379681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200393214 + ... + 200394306.

It is an arithmetic number, because the mean of its divisors is an integer number (1122050160).

Almost surely, 2^219030379680 is an apocalyptic number.

219030379680 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 219030379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430867261440).

219030379680 is an abundant number, since it is smaller than the sum of its proper divisors (642704143200).

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

219030379680 is a wasteful number, since it uses less digits than its factorization.

219030379680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 219030379680 in words is "two hundred nineteen billion, thirty million, three hundred seventy-nine thousand, six hundred eighty".