8256374784000 has 1440 divisors, whose sum is σ = 34448445158400. Its totient is φ = 1863371980800.

The previous prime is 8256374783983. The next prime is 8256374784041. The reversal of 8256374784000 is 4874736528.

8256374784000 is a `hidden beast` number, since 8 + 2 + 563 + 7 + 4 + 78 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11483135641 + ... + 11483136359.

It is an arithmetic number, because the mean of its divisors is an integer number (23922531360).

Almost surely, 2^{8256374784000} is an apocalyptic number.

8256374784000 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 8256374784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17224222579200).

8256374784000 is an abundant number, since it is smaller than the sum of its proper divisors (26192070374400).

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

8256374784000 is an equidigital number, since it uses as much as digits as its factorization.

8256374784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 8256374784000 in words is "eight trillion, two hundred fifty-six billion, three hundred seventy-four million, seven hundred eighty-four thousand".