4617179904 has 144 divisors (see below), whose sum is σ = 12654681984. Its totient is φ = 1493606400.

The previous prime is 4617179839. The next prime is 4617179909. The reversal of 4617179904 is 4099717164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4617179909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10422307 + ... + 10422749.

It is an arithmetic number, because the mean of its divisors is an integer number (87879736).

Almost surely, 2^4617179904 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 4617179904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327340992).

4617179904 is an abundant number, since it is smaller than the sum of its proper divisors (8037502080).

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

4617179904 is a wasteful number, since it uses less digits than its factorization.

4617179904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 4617179904 is about 67949.8337304809. The cubic root of 4617179904 is about 1665.1713584243.

The spelling of 4617179904 in words is "four billion, six hundred seventeen million, one hundred seventy-nine thousand, nine hundred four".