7478799897600 has 1056 divisors, whose sum is σ = 29045070996480. Its totient is φ = 1882718208000.

The previous prime is 7478799897581. The next prime is 7478799897601. The reversal of 7478799897600 is 67989978747.

7478799897600 is a `hidden beast` number, since 7 + 478 + 7 + 9 + 9 + 89 + 7 + 60 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7478799897600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7478799897601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 878510944 + ... + 878519456.

It is an arithmetic number, because the mean of its divisors is an integer number (27504802080).

Almost surely, 2^{7478799897600} 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 7478799897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522535498240).

7478799897600 is an abundant number, since it is smaller than the sum of its proper divisors (21566271098880).

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

7478799897600 is a wasteful number, since it uses less digits than its factorization.

7478799897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624 (or 8595 counting only the distinct ones).

The product of its (nonzero) digits is 2688505344, while the sum is 81.

The spelling of 7478799897600 in words is "seven trillion, four hundred seventy-eight billion, seven hundred ninety-nine million, eight hundred ninety-seven thousand, six hundred".