6042761406 has 128 divisors (see below), whose sum is σ = 15474585600. Its totient is φ = 1728643680.

The previous prime is 6042761363. The next prime is 6042761419. The reversal of 6042761406 is 6041672406.

6042761406 is a `hidden beast` number, since 604 + 2 + 7 + 6 + 1 + 40 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3915471 + ... + 3917013.

It is an arithmetic number, because the mean of its divisors is an integer number (120895200).

Almost surely, 2^6042761406 is an apocalyptic number.

6042761406 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6042761406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737292800).

6042761406 is an abundant number, since it is smaller than the sum of its proper divisors (9431824194).

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

6042761406 is a wasteful number, since it uses less digits than its factorization.

6042761406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6042761406 is about 77735.2005593348. The cubic root of 6042761406 is about 1821.4271909352.

The spelling of 6042761406 in words is "six billion, forty-two million, seven hundred sixty-one thousand, four hundred six".