4617375838608 has 480 divisors, whose sum is σ = 13585786870656. Its totient is φ = 1342570070016.

The previous prime is 4617375838583. The next prime is 4617375838643. The reversal of 4617375838608 is 8068385737164.

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 95 ways as a sum of consecutive naturals, for example, 12379023510 + ... + 12379023882.

Almost surely, 2^{4617375838608} is an apocalyptic number.

4617375838608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4617375838608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792893435328).

4617375838608 is an abundant number, since it is smaller than the sum of its proper divisors (8968411032048).

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

4617375838608 is a wasteful number, since it uses less digits than its factorization.

4617375838608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 4617375838608 in words is "four trillion, six hundred seventeen billion, three hundred seventy-five million, eight hundred thirty-eight thousand, six hundred eight".