7989442560 has 768 divisors, whose sum is σ = 32267289600. Its totient is φ = 1857945600.

The previous prime is 7989442529. The next prime is 7989442583. The reversal of 7989442560 is 652449897.

7989442560 is a `hidden beast` number, since 79 + 8 + 9 + 4 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 7989442497 and 7989442506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112527325 + ... + 112527395.

It is an arithmetic number, because the mean of its divisors is an integer number (42014700).

Almost surely, 2^7989442560 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 7989442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133644800).

7989442560 is an abundant number, since it is smaller than the sum of its proper divisors (24277847040).

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

7989442560 is a wasteful number, since it uses less digits than its factorization.

7989442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 7989442560 is about 89383.6817321820. The cubic root of 7989442560 is about 1999.1198260371.

The spelling of 7989442560 in words is "seven billion, nine hundred eighty-nine million, four hundred forty-two thousand, five hundred sixty".