8378335180800 has 2016 divisors, whose sum is σ = 34685501235840. Its totient is φ = 1992248524800.

The previous prime is 8378335180763. The next prime is 8378335180811. The reversal of 8378335180800 is 80815338738.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 15041894122 + ... + 15041894678.

It is an arithmetic number, because the mean of its divisors is an integer number (17205109740).

Almost surely, 2^{8378335180800} is an apocalyptic number.

8378335180800 is a gapful number since it is divisible by the number (80) 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 8378335180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342750617920).

8378335180800 is an abundant number, since it is smaller than the sum of its proper divisors (26307166055040).

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

8378335180800 is a wasteful number, since it uses less digits than its factorization.

8378335180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 8378335180800 in words is "eight trillion, three hundred seventy-eight billion, three hundred thirty-five million, one hundred eighty thousand, eight hundred".