7609959768 has 64 divisors (see below), whose sum is σ = 19995091200. Its totient is φ = 2408883840.

The previous prime is 7609959767. The next prime is 7609959817. The reversal of 7609959768 is 8679599067.

It is a super-2 number, since 2×7609959768² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7609959699 and 7609959708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7609959767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27138 + ... + 126318.

It is an arithmetic number, because the mean of its divisors is an integer number (312423300).

Almost surely, 2^7609959768 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 7609959768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997545600).

7609959768 is an abundant number, since it is smaller than the sum of its proper divisors (12385131432).

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

7609959768 is a wasteful number, since it uses less digits than its factorization.

7609959768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99352 (or 99348 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 66.

The square root of 7609959768 is about 87235.0833552648. The cubic root of 7609959768 is about 1966.9536232180.

The spelling of 7609959768 in words is "seven billion, six hundred nine million, nine hundred fifty-nine thousand, seven hundred sixty-eight".