214279968672 has 960 divisors, whose sum is σ = 835666191360. Its totient is φ = 52614904320.

The previous prime is 214279968647. The next prime is 214279968689. The reversal of 214279968672 is 276869972412.

214279968672 is a `hidden beast` number, since 2 + 1 + 427 + 99 + 68 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 458843383 + ... + 458843849.

It is an arithmetic number, because the mean of its divisors is an integer number (870485616).

Almost surely, 2^214279968672 is an apocalyptic number.

214279968672 is a gapful number since it is divisible by the number (22) 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 214279968672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417833095680).

214279968672 is an abundant number, since it is smaller than the sum of its proper divisors (621386222688).

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

214279968672 is a wasteful number, since it uses less digits than its factorization.

214279968672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 509 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 214279968672 in words is "two hundred fourteen billion, two hundred seventy-nine million, nine hundred sixty-eight thousand, six hundred seventy-two".