7966080000 has 440 divisors, whose sum is σ = 29544105360. Its totient is φ = 2119680000.

The previous prime is 7966079999. The next prime is 7966080007. The reversal of 7966080000 is 806697.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7966080007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17279770 + ... + 17280230.

It is an arithmetic number, because the mean of its divisors is an integer number (67145694).

Almost surely, 2^7966080000 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 7966080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14772052680).

7966080000 is an abundant number, since it is smaller than the sum of its proper divisors (21578025360).

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

7966080000 is an equidigital number, since it uses as much as digits as its factorization.

7966080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7966080000 is about 89252.8991125779. The cubic root of 7966080000 is about 1997.1693288739.

Adding to 7966080000 its reverse (806697), we get a palindrome (7966886697).

The spelling of 7966080000 in words is "seven billion, nine hundred sixty-six million, eighty thousand".