6830214987024 has 405 divisors, whose sum is σ = 22766319913701. Its totient is φ = 1909295182080.

The previous prime is 6830214987007. The next prime is 6830214987031. The reversal of 6830214987024 is 4207894120386.

The square root of 6830214987024 is 2613468.

It is a perfect power (a square), and thus also a powerful number.

6830214987024 is a `hidden beast` number, since 6 + 83 + 0 + 2 + 1 + 498 + 70 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1010386832400 + 5819828154624 = 1005180^2 + 2412432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4484710327 + ... + 4484711849.

Almost surely, 2^{6830214987024} is an apocalyptic number.

6830214987024 is the 2613468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6830214987024

6830214987024 is an abundant number, since it is smaller than the sum of its proper divisors (15936104926677).

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

6830214987024 is a wasteful number, since it uses less digits than its factorization.

6830214987024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 6830214987024 in words is "six trillion, eight hundred thirty billion, two hundred fourteen million, nine hundred eighty-seven thousand, twenty-four".