4661441664 has 64 divisors (see below), whose sum is σ = 13507598880. Its totient is φ = 1412556800.

The previous prime is 4661441647. The next prime is 4661441699.

4661441664 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547557 + ... + 556004.

Almost surely, 2^4661441664 is an apocalyptic number.

4661441664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4661441664 is an abundant number, since it is smaller than the sum of its proper divisors (8846157216).

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

4661441664 is a wasteful number, since it uses less digits than its factorization.

4661441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103589 (or 1103577 counting only the distinct ones).

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

The square root of 4661441664 is about 68274.7512921138. The cubic root of 4661441664 is about 1670.4754002899.

The spelling of 4661441664 in words is "four billion, six hundred sixty-one million, four hundred forty-one thousand, six hundred sixty-four".