7967008000 has 216 divisors, whose sum is σ = 23091652584. Its totient is φ = 2731008000.

The previous prime is 7967007953. The next prime is 7967008003. The reversal of 7967008000 is 8007697.

It can be written as a sum of positive squares in 4 ways, for example, as 1300612096 + 6666395904 = 36064^2 + 81648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7967008003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1565460 + ... + 1570540.

It is an arithmetic number, because the mean of its divisors is an integer number (106905799).

Almost surely, 2^7967008000 is an apocalyptic number.

7967008000 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 7967008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545826292).

7967008000 is an abundant number, since it is smaller than the sum of its proper divisors (15124644584).

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

7967008000 is an equidigital number, since it uses as much as digits as its factorization.

7967008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 7967008000 is about 89258.0976718639. The cubic root of 7967008000 is about 1997.2468785668.

The spelling of 7967008000 in words is "seven billion, nine hundred sixty-seven million, eight thousand".