5406085674 has 72 divisors (see below), whose sum is σ = 13008062340. Its totient is φ = 1621255680.

The previous prime is 5406085639. The next prime is 5406085787. The reversal of 5406085674 is 4765806045.

It can be written as a sum of positive squares in 2 ways, for example, as 5170616649 + 235469025 = 71907^2 + 15345^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198472 + ... + 224060.

Almost surely, 2^5406085674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406085674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504031170).

5406085674 is an abundant number, since it is smaller than the sum of its proper divisors (7601976666).

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

5406085674 is a wasteful number, since it uses less digits than its factorization.

5406085674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25716 (or 25702 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5406085674 is about 73526.0883904482. The cubic root of 5406085674 is about 1755.0694554537.

The spelling of 5406085674 in words is "five billion, four hundred six million, eighty-five thousand, six hundred seventy-four".