4449967872 has 576 divisors, whose sum is σ = 15682222080. Its totient is φ = 1089994752.

The previous prime is 4449967867. The next prime is 4449967883. The reversal of 4449967872 is 2787699444.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

Its product of digits (24385536) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60958428 + ... + 60958500.

It is an arithmetic number, because the mean of its divisors is an integer number (27226080).

Almost surely, 2^4449967872 is an apocalyptic number.

4449967872 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 4449967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841111040).

4449967872 is an abundant number, since it is smaller than the sum of its proper divisors (11232254208).

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

4449967872 is a wasteful number, since it uses less digits than its factorization.

4449967872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The square root of 4449967872 is about 66708.0795106560. The cubic root of 4449967872 is about 1644.8221981188.

The spelling of 4449967872 in words is "four billion, four hundred forty-nine million, nine hundred sixty-seven thousand, eight hundred seventy-two".