6167781126 has 160 divisors (see below), whose sum is σ = 15509694816. Its totient is φ = 1819584000.

The previous prime is 6167781091. The next prime is 6167781127. The reversal of 6167781126 is 6211877616.

6167781126 is a `hidden beast` number, since 616 + 7 + 7 + 8 + 1 + 1 + 26 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6167781127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5266521 + ... + 5267691.

Almost surely, 2^6167781126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6167781126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754847408).

6167781126 is an abundant number, since it is smaller than the sum of its proper divisors (9341913690).

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

6167781126 is a wasteful number, since it uses less digits than its factorization.

6167781126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1291 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 6167781126 is about 78535.2221999785. Note that the first 3 decimals coincide. The cubic root of 6167781126 is about 1833.9028181324.

The spelling of 6167781126 in words is "six billion, one hundred sixty-seven million, seven hundred eighty-one thousand, one hundred twenty-six".