8074078788384 has 576 divisors, whose sum is σ = 27849108897792. Its totient is φ = 2169802598400.

The previous prime is 8074078788313. The next prime is 8074078788473. The reversal of 8074078788384 is 4838878704708.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4233915559 + ... + 4233917465.

It is an arithmetic number, because the mean of its divisors is an integer number (48349147392).

Almost surely, 2^{8074078788384} is an apocalyptic number.

8074078788384 is a gapful number since it is divisible by the number (84) 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 8074078788384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924554448896).

8074078788384 is an abundant number, since it is smaller than the sum of its proper divisors (19775030109408).

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

8074078788384 is a wasteful number, since it uses less digits than its factorization.

8074078788384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 539492352, while the sum is 72.

The spelling of 8074078788384 in words is "eight trillion, seventy-four billion, seventy-eight million, seven hundred eighty-eight thousand, three hundred eighty-four".