6873542934201 has 48 divisors (see below), whose sum is σ = 10971216182160. Its totient is φ = 4127242936320.

The previous prime is 6873542934179. The next prime is 6873542934353. The reversal of 6873542934201 is 1024392453786.

6873542934201 is a `hidden beast` number, since 6 + 8 + 7 + 3 + 5 + 429 + 3 + 4 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 238534560000 + 6635008374201 = 488400^2 + 2575851^2 .

It is not a de Polignac number, because 6873542934201 - 2¹¹ = 6873542932153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6873542914201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6353230 + ... + 7355991.

It is an arithmetic number, because the mean of its divisors is an integer number (228567003795).

It is a 1-persistent number, because it is pandigital, but 2⋅6873542934201 = 13747085868402 is not.

Almost surely, 2^{6873542934201} is an apocalyptic number.

It is an amenable number.

6873542934201 is a deficient number, since it is larger than the sum of its proper divisors (4097673247959).

6873542934201 is a wasteful number, since it uses less digits than its factorization.

6873542934201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13709386 (or 13709383 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6873542934201 in words is "six trillion, eight hundred seventy-three billion, five hundred forty-two million, nine hundred thirty-four thousand, two hundred one".