7089384960 has 480 divisors, whose sum is σ = 28381129920. Its totient is φ = 1601961984.

The previous prime is 7089384949. The next prime is 7089385027. The reversal of 7089384960 is 694839807.

7089384960 is a `hidden beast` number, since 70 + 89 + 3 + 8 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7089384960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7089384897 and 7089384906.

It is a congruent number.

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, 18224446 + ... + 18224834.

It is an arithmetic number, because the mean of its divisors is an integer number (59127354).

Almost surely, 2^7089384960 is an apocalyptic number.

7089384960 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 7089384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190564960).

7089384960 is an abundant number, since it is smaller than the sum of its proper divisors (21291744960).

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

7089384960 is a wasteful number, since it uses less digits than its factorization.

7089384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 7089384960 is about 84198.4854970682. The cubic root of 7089384960 is about 1921.0390209587.

The spelling of 7089384960 in words is "seven billion, eighty-nine million, three hundred eighty-four thousand, nine hundred sixty".