7448967680000 has 2080 divisors, whose sum is σ = 25469133668352. Its totient is φ = 2108620800000.

The previous prime is 7448967679997. The next prime is 7448967680003. The reversal of 7448967680000 is 867698447.

It is an interprime number because it is at equal distance from previous prime (7448967679997) and next prime (7448967680003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7448967680003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 140546559974 + ... + 140546560026.

Almost surely, 2^{7448967680000} is an apocalyptic number.

7448967680000 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 7448967680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734566834176).

7448967680000 is an abundant number, since it is smaller than the sum of its proper divisors (18020165988352).

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

7448967680000 is a wasteful number, since it uses less digits than its factorization.

7448967680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 59.

The spelling of 7448967680000 in words is "seven trillion, four hundred forty-eight billion, nine hundred sixty-seven million, six hundred eighty thousand".