7081966080000 has 3900 divisors, whose sum is σ = 33355694020572. Its totient is φ = 1486356480000.

The previous prime is 7081966079933. The next prime is 7081966080043. The reversal of 7081966080000 is 806691807.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 6168825298944 + 913140781056 = 2483712^2 + 955584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 172730879980 + ... + 172730880020.

Almost surely, 2^{7081966080000} is an apocalyptic number.

7081966080000 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 7081966080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677847010286).

7081966080000 is an abundant number, since it is smaller than the sum of its proper divisors (26273727940572).

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

7081966080000 is an equidigital number, since it uses as much as digits as its factorization.

7081966080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 7081966080000 in words is "seven trillion, eighty-one billion, nine hundred sixty-six million, eighty thousand".