4467537984 has 448 divisors, whose sum is σ = 15669158400. Its totient is φ = 1096482816.

The previous prime is 4467537973. The next prime is 4467537989. The reversal of 4467537984 is 4897357644.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (4467537989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50197012 + ... + 50197100.

It is an arithmetic number, because the mean of its divisors is an integer number (34975800).

Almost surely, 2^4467537984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4467537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834579200).

4467537984 is an abundant number, since it is smaller than the sum of its proper divisors (11201620416).

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

4467537984 is a wasteful number, since it uses less digits than its factorization.

4467537984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The square root of 4467537984 is about 66839.6438051550. The cubic root of 4467537984 is about 1646.9841431573.

The spelling of 4467537984 in words is "four billion, four hundred sixty-seven million, five hundred thirty-seven thousand, nine hundred eighty-four".