7605041040 has 60 divisors (see below), whose sum is σ = 25540265244. Its totient is φ = 2028010752.

The previous prime is 7605041027. The next prime is 7605041047. The reversal of 7605041040 is 401405067.

7605041040 is a `hidden beast` number, since 7 + 605 + 0 + 4 + 10 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2957619456 + 4647421584 = 54384^2 + 68172^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 7605040995 and 7605041013.

It is not an unprimeable number, because it can be changed into a prime (7605041047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5280559 + ... + 5281998.

Almost surely, 2^7605041040 is an apocalyptic number.

It is an amenable number.

7605041040 is an abundant number, since it is smaller than the sum of its proper divisors (17935224204).

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

7605041040 is a wasteful number, since it uses less digits than its factorization.

7605041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10562576 (or 10562567 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7605041040 is about 87206.8864253277. The cubic root of 7605041040 is about 1966.5297490943.

The spelling of 7605041040 in words is "seven billion, six hundred five million, forty-one thousand, forty".