8378862774400 has 192 divisors, whose sum is σ = 21913767964800. Its totient is φ = 3156790579200.

The previous prime is 8378862774391. The next prime is 8378862774407. The reversal of 8378862774400 is 44772688738.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (8378862774407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10120105 + ... + 10916695.

It is an arithmetic number, because the mean of its divisors is an integer number (114134208150).

Almost surely, 2^{8378862774400} is an apocalyptic number.

8378862774400 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 8378862774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10956883982400).

8378862774400 is an abundant number, since it is smaller than the sum of its proper divisors (13534905190400).

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

8378862774400 is a wasteful number, since it uses less digits than its factorization.

8378862774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796807 (or 796790 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 64.

The spelling of 8378862774400 in words is "eight trillion, three hundred seventy-eight billion, eight hundred sixty-two million, seven hundred seventy-four thousand, four hundred".