7988444640000 has 1440 divisors, whose sum is σ = 33607932019200. Its totient is φ = 1852139520000.

The previous prime is 7988444639999. The next prime is 7988444640013. The reversal of 7988444640000 is 464448897.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1092956346 + ... + 1092963654.

It is an arithmetic number, because the mean of its divisors is an integer number (23338841680).

Almost surely, 2^{7988444640000} 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 7988444640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803966009600).

7988444640000 is an abundant number, since it is smaller than the sum of its proper divisors (25619487379200).

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

7988444640000 is a wasteful number, since it uses less digits than its factorization.

7988444640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388 (or 7353 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 7988444640000 in words is "seven trillion, nine hundred eighty-eight billion, four hundred forty-four million, six hundred forty thousand".