4272693984 has 144 divisors (see below), whose sum is σ = 13281205392. Its totient is φ = 1294977024.

The previous prime is 4272693983. The next prime is 4272693991. The reversal of 4272693984 is 4893962724.

4272693984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4272693984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4272693983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242332 + ... + 259364.

It is an arithmetic number, because the mean of its divisors is an integer number (92230593).

Almost surely, 2^4272693984 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 4272693984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640602696).

4272693984 is an abundant number, since it is smaller than the sum of its proper divisors (9008511408).

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

4272693984 is a wasteful number, since it uses less digits than its factorization.

4272693984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17129 (or 17118 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4272693984 is about 65365.8472292680. The cubic root of 4272693984 is about 1622.6839095015.

The spelling of 4272693984 in words is "four billion, two hundred seventy-two million, six hundred ninety-three thousand, nine hundred eighty-four".