6840005742 has 64 divisors (see below), whose sum is σ = 15874859520. Its totient is φ = 2178950400.

The previous prime is 6840005693. The next prime is 6840005749. The reversal of 6840005742 is 2475000486.

6840005742 is a `hidden beast` number, since 6 + 84 + 0 + 0 + 0 + 574 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6840005697 and 6840005706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6840005749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2247742 + ... + 2250782.

It is an arithmetic number, because the mean of its divisors is an integer number (248044680).

Almost surely, 2^6840005742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6840005742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7937429760).

6840005742 is an abundant number, since it is smaller than the sum of its proper divisors (9034853778).

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

6840005742 is a wasteful number, since it uses less digits than its factorization.

6840005742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6840005742 is about 82704.3272265726. The cubic root of 6840005742 is about 1898.2445227810.

The spelling of 6840005742 in words is "six billion, eight hundred forty million, five thousand, seven hundred forty-two".