7607104577604 has 243 divisors, whose sum is σ = 22634924520663. Its totient is φ = 2147874333696.

The previous prime is 7607104577591. The next prime is 7607104577651. The reversal of 7607104577604 is 4067754017067.

It is a happy number.

The square root of 7607104577604 is 2758098.

It is a perfect power (a square), and thus also a powerful number.

7607104577604 is a `hidden beast` number, since 7 + 6 + 0 + 7 + 1 + 0 + 4 + 577 + 60 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2840916992004 + 4766187585600 = 1685502^2 + 2183160^2 .

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 80 ways as a sum of consecutive naturals, for example, 11236490914 + ... + 11236491590.

Almost surely, 2^{7607104577604} is an apocalyptic number.

7607104577604 is the 2758098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7607104577604

7607104577604 is an abundant number, since it is smaller than the sum of its proper divisors (15027819943059).

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

7607104577604 is an equidigital number, since it uses as much as digits as its factorization.

7607104577604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 7607104577604 in words is "seven trillion, six hundred seven billion, one hundred four million, five hundred seventy-seven thousand, six hundred four".