214006302720 has 1920 divisors, whose sum is σ = 958961203200. Its totient is φ = 44590694400.

The previous prime is 214006302703. The next prime is 214006302721. The reversal of 214006302720 is 27203600412.

214006302720 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 0 + 630 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214006302721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5219665900 + ... + 5219665940.

It is an arithmetic number, because the mean of its divisors is an integer number (499458960).

Almost surely, 2^214006302720 is an apocalyptic number.

214006302720 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 214006302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479480601600).

214006302720 is an abundant number, since it is smaller than the sum of its proper divisors (744954900480).

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

214006302720 is a wasteful number, since it uses less digits than its factorization.

214006302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 214006302720 in words is "two hundred fourteen billion, six million, three hundred two thousand, seven hundred twenty".