7563604608 has 256 divisors, whose sum is σ = 26394336000. Its totient is φ = 2086318080.

The previous prime is 7563604567. The next prime is 7563604619. The reversal of 7563604608 is 8064063657.

7563604608 is a `hidden beast` number, since 7 + 5 + 6 + 36 + 0 + 4 + 608 = 666.

It is a super-2 number, since 2×7563604608² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696178 + ... + 706958.

It is an arithmetic number, because the mean of its divisors is an integer number (103102875).

Almost surely, 2^7563604608 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 7563604608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197168000).

7563604608 is an abundant number, since it is smaller than the sum of its proper divisors (18830731392).

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

7563604608 is a wasteful number, since it uses less digits than its factorization.

7563604608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10840 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7563604608 is about 86968.9864721902. The cubic root of 7563604608 is about 1962.9516654337.

It can be divided in two parts, 7563 and 604608, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 7563604608 in words is "seven billion, five hundred sixty-three million, six hundred four thousand, six hundred eight".