7132806411648 has 512 divisors, whose sum is σ = 20940904857600. Its totient is φ = 2141375201280.

The previous prime is 7132806411637. The next prime is 7132806411659. The reversal of 7132806411648 is 8461146082317.

It is an interprime number because it is at equal distance from previous prime (7132806411637) and next prime (7132806411659).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 7132806411648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8077923015 + ... + 8077923897.

It is an arithmetic number, because the mean of its divisors is an integer number (40900204800).

Almost surely, 2^{7132806411648} 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 7132806411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10470452428800).

7132806411648 is an abundant number, since it is smaller than the sum of its proper divisors (13808098445952).

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

7132806411648 is a wasteful number, since it uses less digits than its factorization.

7132806411648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 7132806411648 in words is "seven trillion, one hundred thirty-two billion, eight hundred six million, four hundred eleven thousand, six hundred forty-eight".