4641661464 has 128 divisors (see below), whose sum is σ = 13259635200. Its totient is φ = 1340303360.

The previous prime is 4641661459. The next prime is 4641661481.

4641661464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4641661464² = 43090042292765246592, which contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1777792 + ... + 1780400.

It is an arithmetic number, because the mean of its divisors is an integer number (103590900).

Almost surely, 2^4641661464 is an apocalyptic number.

4641661464 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 4641661464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629817600).

4641661464 is an abundant number, since it is smaller than the sum of its proper divisors (8617973736).

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

4641661464 is a wasteful number, since it uses less digits than its factorization.

4641661464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2941 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 4641661464 is about 68129.7399378568. The cubic root of 4641661464 is about 1668.1092378239.

It can be divided in two parts, 46416 and 61464, that added together give a triangular number (107880 = T₄₆₄).

The spelling of 4641661464 in words is "four billion, six hundred forty-one million, six hundred sixty-one thousand, four hundred sixty-four".