7948673821440 has 1728 divisors, whose sum is σ = 34396199147520. Its totient is φ = 1717644165120.

The previous prime is 7948673821399. The next prime is 7948673821453. The reversal of 7948673821440 is 441283768497.

7948673821440 is a `hidden beast` number, since 7 + 9 + 48 + 6 + 73 + 82 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2333040217 + ... + 2333043623.

It is an arithmetic number, because the mean of its divisors is an integer number (19905207840).

Almost surely, 2^{7948673821440} 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 7948673821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17198099573760).

7948673821440 is an abundant number, since it is smaller than the sum of its proper divisors (26447525326080).

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

7948673821440 is a wasteful number, since it uses less digits than its factorization.

7948673821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 7948673821440 in words is "seven trillion, nine hundred forty-eight billion, six hundred seventy-three million, eight hundred twenty-one thousand, four hundred forty".