5941872672 has 96 divisors (see below), whose sum is σ = 16243960320. Its totient is φ = 1899663360.

The previous prime is 5941872659. The next prime is 5941872719. The reversal of 5941872672 is 2762781495.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 327454 + ... + 345122.

It is an arithmetic number, because the mean of its divisors is an integer number (169207920).

Almost surely, 2^5941872672 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 5941872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121980160).

5941872672 is an abundant number, since it is smaller than the sum of its proper divisors (10302087648).

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

5941872672 is a wasteful number, since it uses less digits than its factorization.

5941872672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17826 (or 17818 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 5941872672 is about 77083.5434577316. The cubic root of 5941872672 is about 1811.2335203428.

The spelling of 5941872672 in words is "five billion, nine hundred forty-one million, eight hundred seventy-two thousand, six hundred seventy-two".