7089768000 has 672 divisors, whose sum is σ = 30115507968. Its totient is φ = 1617408000.

The previous prime is 7089767959. The next prime is 7089768001. The reversal of 7089768000 is 8679807.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (7089768001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13607740 + ... + 13608260.

It is an arithmetic number, because the mean of its divisors is an integer number (44814744).

Almost surely, 2^7089768000 is an apocalyptic number.

7089768000 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 7089768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057753984).

7089768000 is an abundant number, since it is smaller than the sum of its proper divisors (23025739968).

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

7089768000 is an equidigital number, since it uses as much as digits as its factorization.

7089768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7089768000 is about 84200.7600915811. The cubic root of 7089768000 is about 1921.0736182963.

The spelling of 7089768000 in words is "seven billion, eighty-nine million, seven hundred sixty-eight thousand".