4641331464 has 192 divisors, whose sum is σ = 15710423040. Its totient is φ = 1202590080.

The previous prime is 4641331447. The next prime is 4641331523.

4641331464 is a `hidden beast` number, since 4 + 64 + 133 + 1 + 464 = 666.

4641331464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3120529 + ... + 3122015.

It is an arithmetic number, because the mean of its divisors is an integer number (81825120).

Almost surely, 2^4641331464 is an apocalyptic number.

4641331464 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 4641331464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7855211520).

4641331464 is an abundant number, since it is smaller than the sum of its proper divisors (11069091576).

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

4641331464 is a wasteful number, since it uses less digits than its factorization.

4641331464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2073 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4641331464 is about 68127.3180449664. The cubic root of 4641331464 is about 1668.0697053492.

It can be divided in two parts, 46413 and 31464, that added together give a palindrome (77877).

The spelling of 4641331464 in words is "four billion, six hundred forty-one million, three hundred thirty-one thousand, four hundred sixty-four".