7605540540 has 144 divisors (see below), whose sum is σ = 24883238016. Its totient is φ = 1869235200.

The previous prime is 7605540521. The next prime is 7605540559. The reversal of 7605540540 is 450455067.

It is a happy number.

7605540540 is a `hidden beast` number, since 7 + 60 + 5 + 54 + 0 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (7605540521) and next prime (7605540559).

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 = 7605540495 and 7605540504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1778605 + ... + 1782875.

It is an arithmetic number, because the mean of its divisors is an integer number (172800264).

Almost surely, 2^7605540540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7605540540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441619008).

7605540540 is an abundant number, since it is smaller than the sum of its proper divisors (17277697476).

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

7605540540 is a wasteful number, since it uses less digits than its factorization.

7605540540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 7605540540 is about 87209.7502576403. The cubic root of 7605540540 is about 1966.5728021210.

The spelling of 7605540540 in words is "seven billion, six hundred five million, five hundred forty thousand, five hundred forty".