7889218560 has 528 divisors, whose sum is σ = 30096402336. Its totient is φ = 1974730752.

The previous prime is 7889218559. The next prime is 7889218567. The reversal of 7889218560 is 658129887.

7889218560 is a `hidden beast` number, since 78 + 8 + 9 + 2 + 1 + 8 + 560 = 666.

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 = 7889218497 and 7889218506.

It is not an unprimeable number, because it can be changed into a prime (7889218567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21150534 + ... + 21150906.

It is an arithmetic number, because the mean of its divisors is an integer number (57000762).

Almost surely, 2^7889218560 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 7889218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048201168).

7889218560 is an abundant number, since it is smaller than the sum of its proper divisors (22207183776).

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

7889218560 is a wasteful number, since it uses less digits than its factorization.

7889218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 7889218560 is about 88821.2731275566. The cubic root of 7889218560 is about 1990.7252695053.

The spelling of 7889218560 in words is "seven billion, eight hundred eighty-nine million, two hundred eighteen thousand, five hundred sixty".