7609828608 has 144 divisors (see below), whose sum is σ = 22705079040. Its totient is φ = 2513903616.

The previous prime is 7609828579. The next prime is 7609828613. The reversal of 7609828608 is 8068289067.

7609828608 is a `hidden beast` number, since 7 + 6 + 0 + 9 + 8 + 28 + 608 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 776185 + ... + 785927.

It is an arithmetic number, because the mean of its divisors is an integer number (157674160).

Almost surely, 2^7609828608 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 7609828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11352539520).

7609828608 is an abundant number, since it is smaller than the sum of its proper divisors (15095250432).

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

7609828608 is a wasteful number, since it uses less digits than its factorization.

7609828608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9881 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 7609828608 is about 87234.3315902632. The cubic root of 7609828608 is about 1966.9423228026.

The spelling of 7609828608 in words is "seven billion, six hundred nine million, eight hundred twenty-eight thousand, six hundred eight".