7189116480 has 336 divisors, whose sum is σ = 30435035904. Its totient is φ = 1516769280.

The previous prime is 7189116479. The next prime is 7189116499. The reversal of 7189116480 is 846119817.

It is a happy number.

7189116480 is a `hidden beast` number, since 71 + 8 + 91 + 16 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248365 + ... + 275795.

It is an arithmetic number, because the mean of its divisors is an integer number (90580464).

Almost surely, 2^7189116480 is an apocalyptic number.

7189116480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7189116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15217517952).

7189116480 is an abundant number, since it is smaller than the sum of its proper divisors (23245919424).

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

7189116480 is a wasteful number, since it uses less digits than its factorization.

7189116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27474 (or 27461 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 7189116480 is about 84788.6577320339. The cubic root of 7189116480 is about 1930.0053227233.

The spelling of 7189116480 in words is "seven billion, one hundred eighty-nine million, one hundred sixteen thousand, four hundred eighty".