7008768000 has 780 divisors, whose sum is σ = 28294236828. Its totient is φ = 1725235200.

The previous prime is 7008767993. The next prime is 7008768023. The reversal of 7008768000 is 8678007.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 4938153984 + 2070614016 = 70272^2 + 45504^2 .

It is a tau number, because it is divible by the number of its divisors (780).

It is a super-3 number, since 3×7008768000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 539135994 + ... + 539136006.

Almost surely, 2^7008768000 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 7008768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14147118414).

7008768000 is an abundant number, since it is smaller than the sum of its proper divisors (21285468828).

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

7008768000 is an equidigital number, since it uses as much as digits as its factorization.

7008768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7008768000 is about 83718.3850775921. The cubic root of 7008768000 is about 1913.7295438451.

The spelling of 7008768000 in words is "seven billion, eight million, seven hundred sixty-eight thousand".