216932362920 has 960 divisors, whose sum is σ = 924465603600. Its totient is φ = 45217751040.

The previous prime is 216932362919. The next prime is 216932362973. The reversal of 216932362920 is 29263239612.

216932362920 is a `hidden beast` number, since 2 + 16 + 9 + 3 + 2 + 3 + 629 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 69149013444 + 147783349476 = 262962^2 + 384426^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 183684730 + ... + 183685910.

Almost surely, 2^216932362920 is an apocalyptic number.

216932362920 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 216932362920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462232801800).

216932362920 is an abundant number, since it is smaller than the sum of its proper divisors (707533240680).

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

216932362920 is a wasteful number, since it uses less digits than its factorization.

216932362920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 216932362920 in words is "two hundred sixteen billion, nine hundred thirty-two million, three hundred sixty-two thousand, nine hundred twenty".