7448395416280 has 1152 divisors, whose sum is σ = 23413292421120. Its totient is φ = 2110672650240.

The previous prime is 7448395416247. The next prime is 7448395416299. The reversal of 7448395416280 is 826145938447.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15294446197 + ... + 15294446683.

It is an arithmetic number, because the mean of its divisors is an integer number (20324038560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅7448395416280 = 14896790832560, but 3⋅7448395416280 = 22345186248840 is not.

Almost surely, 2^{7448395416280} is an apocalyptic number.

7448395416280 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 7448395416280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11706646210560).

7448395416280 is an abundant number, since it is smaller than the sum of its proper divisors (15964897004840).

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

7448395416280 is a wasteful number, since it uses less digits than its factorization.

7448395416280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 7448395416280 in words is "seven trillion, four hundred forty-eight billion, three hundred ninety-five million, four hundred sixteen thousand, two hundred eighty".