214785733680 has 360 divisors, whose sum is σ = 875574397152. Its totient is φ = 46959187968.

The previous prime is 214785733651. The next prime is 214785733699. The reversal of 214785733680 is 86337587412.

It is a happy number.

214785733680 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 8 + 573 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×214785733680² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 679092 + ... + 943788.

Almost surely, 2^214785733680 is an apocalyptic number.

214785733680 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 214785733680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437787198576).

214785733680 is an abundant number, since it is smaller than the sum of its proper divisors (660788663472).

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

214785733680 is a wasteful number, since it uses less digits than its factorization.

214785733680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264753 (or 264737 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 214785733680 in words is "two hundred fourteen billion, seven hundred eighty-five million, seven hundred thirty-three thousand, six hundred eighty".