4617964104 has 128 divisors (see below), whose sum is σ = 13392691200. Its totient is φ = 1315226880.

The previous prime is 4617964067. The next prime is 4617964121. The reversal of 4617964104 is 4014697164.

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, 212077 + ... + 232835.

It is an arithmetic number, because the mean of its divisors is an integer number (104630400).

Almost surely, 2^4617964104 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 4617964104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696345600).

4617964104 is an abundant number, since it is smaller than the sum of its proper divisors (8774727096).

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

4617964104 is a wasteful number, since it uses less digits than its factorization.

4617964104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20835 (or 20831 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4617964104 is about 67955.6039190294. The cubic root of 4617964104 is about 1665.2656261724.

The spelling of 4617964104 in words is "four billion, six hundred seventeen million, nine hundred sixty-four thousand, one hundred four".