4467667644 has 96 divisors (see below), whose sum is σ = 12652147200. Its totient is φ = 1352090880.

The previous prime is 4467667639. The next prime is 4467667661.

4467667644 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146852 + ... + 1150740.

It is an arithmetic number, because the mean of its divisors is an integer number (131793200).

Almost surely, 2^4467667644 is an apocalyptic number.

4467667644 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 4467667644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326073600).

4467667644 is an abundant number, since it is smaller than the sum of its proper divisors (8184479556).

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

4467667644 is a wasteful number, since it uses less digits than its factorization.

4467667644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4872 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The square root of 4467667644 is about 66840.6137314732. The cubic root of 4467667644 is about 1647.0000763103. Note that the first 4 decimals are identical.

The spelling of 4467667644 in words is "four billion, four hundred sixty-seven million, six hundred sixty-seven thousand, six hundred forty-four".