4446876672 has 616 divisors, whose sum is σ = 16323858816. Its totient is φ = 1182449664.

The previous prime is 4446876671. The next prime is 4446876689. The reversal of 4446876672 is 2766786444.

4446876672 is a `hidden beast` number, since 44 + 468 + 76 + 6 + 72 = 666.

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

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

Its product of digits (10838016) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4446876671) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 120185838 + ... + 120185874.

Almost surely, 2^4446876672 is an apocalyptic number.

4446876672 is a gapful number since it is divisible by the number (42) 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 4446876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8161929408).

4446876672 is an abundant number, since it is smaller than the sum of its proper divisors (11876982144).

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

4446876672 is an equidigital number, since it uses as much as digits as its factorization.

4446876672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The square root of 4446876672 is about 66684.9058783170. The cubic root of 4446876672 is about 1644.4412476414.

The spelling of 4446876672 in words is "four billion, four hundred forty-six million, eight hundred seventy-six thousand, six hundred seventy-two".