7143888960 has 672 divisors, whose sum is σ = 28331476992. Its totient is φ = 1702010880.

The previous prime is 7143888953. The next prime is 7143888967. The reversal of 7143888960 is 698883417.

7143888960 is a `hidden beast` number, since 71 + 438 + 8 + 89 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (7143888953) and next prime (7143888967).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7143888897 and 7143888906.

It is not an unprimeable number, because it can be changed into a prime (7143888967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37402465 + ... + 37402655.

It is an arithmetic number, because the mean of its divisors is an integer number (42159936).

Almost surely, 2^7143888960 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 7143888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165738496).

7143888960 is an abundant number, since it is smaller than the sum of its proper divisors (21187588032).

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

7143888960 is a wasteful number, since it uses less digits than its factorization.

7143888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 7143888960 is about 84521.5295649576. The cubic root of 7143888960 is about 1925.9495139181.

The spelling of 7143888960 in words is "seven billion, one hundred forty-three million, eight hundred eighty-eight thousand, nine hundred sixty".