4613773164 has 288 divisors, whose sum is σ = 15120274176. Its totient is φ = 1075576320.

The previous prime is 4613773133. The next prime is 4613773169.

4613773164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4613773169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3110367 + ... + 3111849.

It is an arithmetic number, because the mean of its divisors is an integer number (52500952).

Almost surely, 2^4613773164 is an apocalyptic number.

4613773164 is a gapful number since it is divisible by the number (44) 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 4613773164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560137088).

4613773164 is an abundant number, since it is smaller than the sum of its proper divisors (10506501012).

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

4613773164 is a wasteful number, since it uses less digits than its factorization.

4613773164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1556 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 4613773164 is about 67924.7610522113. The cubic root of 4613773164 is about 1664.7617143146.

It can be divided in two parts, 4613 and 773164, that added together give a palindrome (777777).

The spelling of 4613773164 in words is "four billion, six hundred thirteen million, seven hundred seventy-three thousand, one hundred sixty-four".