214242916680 has 320 divisors, whose sum is σ = 784842125760. Its totient is φ = 52100485632.

The previous prime is 214242916661. The next prime is 214242916681. The reversal of 214242916680 is 86619242412.

It is a happy number.

214242916680 is a `hidden beast` number, since 2 + 1 + 424 + 2 + 91 + 66 + 80 = 666.

It is a super-6 number, since 6×214242916680⁶ (a number of 69 digits) contains 666666 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (214242916681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3465319 + ... + 3526601.

It is an arithmetic number, because the mean of its divisors is an integer number (2452631643).

Almost surely, 2^214242916680 is an apocalyptic number.

214242916680 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 214242916680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392421062880).

214242916680 is an abundant number, since it is smaller than the sum of its proper divisors (570599209080).

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

214242916680 is a wasteful number, since it uses less digits than its factorization.

214242916680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61402 (or 61389 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 214242916680 in words is "two hundred fourteen billion, two hundred forty-two million, nine hundred sixteen thousand, six hundred eighty".