7126835040 has 144 divisors (see below), whose sum is σ = 26191187568. Its totient is φ = 1754293248.

The previous prime is 7126835011. The next prime is 7126835071. The reversal of 7126835040 is 405386217.

7126835040 is a `hidden beast` number, since 7 + 1 + 268 + 350 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7126834986 and 7126835004.

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 23 ways as a sum of consecutive naturals, for example, 171634 + ... + 209073.

It is an arithmetic number, because the mean of its divisors is an integer number (181883247).

Almost surely, 2^7126835040 is an apocalyptic number.

It is an amenable number.

7126835040 is an abundant number, since it is smaller than the sum of its proper divisors (19064352528).

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

7126835040 is a wasteful number, since it uses less digits than its factorization.

7126835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380741 (or 380730 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7126835040 is about 84420.5842197269. The cubic root of 7126835040 is about 1924.4157480318.

The spelling of 7126835040 in words is "seven billion, one hundred twenty-six million, eight hundred thirty-five thousand, forty".