7950004316800 has 768 divisors, whose sum is σ = 25507292428800. Its totient is φ = 2379432591360.

The previous prime is 7950004316729. The next prime is 7950004316819. The reversal of 7950004316800 is 86134000597.

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 95 ways as a sum of consecutive naturals, for example, 596079732 + ... + 596093068.

It is an arithmetic number, because the mean of its divisors is an integer number (33212620350).

Almost surely, 2^{7950004316800} is an apocalyptic number.

7950004316800 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 7950004316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753646214400).

7950004316800 is an abundant number, since it is smaller than the sum of its proper divisors (17557288112000).

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

7950004316800 is a wasteful number, since it uses less digits than its factorization.

7950004316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13493 (or 13476 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 7950004316800 in words is "seven trillion, nine hundred fifty billion, four million, three hundred sixteen thousand, eight hundred".