6874581681 has 48 divisors (see below), whose sum is σ = 10937017728. Its totient is φ = 4126464000.

The previous prime is 6874581671. The next prime is 6874581683. The reversal of 6874581681 is 1861854786.

It is a happy number.

It is not a de Polignac number, because 6874581681 - 2⁶ = 6874581617 is a prime.

It is a super-2 number, since 2×6874581681² = 94519746577481571522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6874581683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8625175 + ... + 8625971.

It is an arithmetic number, because the mean of its divisors is an integer number (227854536).

Almost surely, 2^6874581681 is an apocalyptic number.

It is an amenable number.

6874581681 is a deficient number, since it is larger than the sum of its proper divisors (4062436047).

6874581681 is a wasteful number, since it uses less digits than its factorization.

6874581681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1539 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 6874581681 is about 82913.0971620286. The cubic root of 6874581681 is about 1901.4376636040.

It can be divided in two parts, 68745 and 81681, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 6874581681 in words is "six billion, eight hundred seventy-four million, five hundred eighty-one thousand, six hundred eighty-one".