7608005838 has 56 divisors (see below), whose sum is σ = 17527645296. Its totient is φ = 2474128800.

The previous prime is 7608005813. The next prime is 7608005851. The reversal of 7608005838 is 8385008067.

7608005838 is a `hidden beast` number, since 7 + 60 + 8 + 0 + 0 + 583 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7608005793 and 7608005802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3858 + ... + 123413.

It is an arithmetic number, because the mean of its divisors is an integer number (312993666).

Almost surely, 2^7608005838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7608005838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8763822648).

7608005838 is an abundant number, since it is smaller than the sum of its proper divisors (9919639458).

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

7608005838 is a wasteful number, since it uses less digits than its factorization.

7608005838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127332 (or 127317 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 7608005838 is about 87223.8834150372. The cubic root of 7608005838 is about 1966.7852640855.

The spelling of 7608005838 in words is "seven billion, six hundred eight million, five thousand, eight hundred thirty-eight".