7147920384 has 352 divisors, whose sum is σ = 24328185600. Its totient is φ = 2050375680.

The previous prime is 7147920331. The next prime is 7147920421. The reversal of 7147920384 is 4830297417.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5777814 + ... + 5779050.

Almost surely, 2^7147920384 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 7147920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12164092800).

7147920384 is an abundant number, since it is smaller than the sum of its proper divisors (17180265216).

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

7147920384 is a wasteful number, since it uses less digits than its factorization.

7147920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7147920384 is about 84545.3747049476. The cubic root of 7147920384 is about 1926.3117283497.

The spelling of 7147920384 in words is "seven billion, one hundred forty-seven million, nine hundred twenty thousand, three hundred eighty-four".