8419447968750 has 1152 divisors, whose sum is σ = 29581588333440. Its totient is φ = 1769040000000.

The previous prime is 8419447968739. The next prime is 8419447968751. The reversal of 8419447968750 is 578697449148.

8419447968750 is a `hidden beast` number, since 8 + 4 + 1 + 94 + 479 + 68 + 7 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8419447968751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 34935468630 + ... + 34935468870.

It is an arithmetic number, because the mean of its divisors is an integer number (25678462095).

Almost surely, 2^{8419447968750} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8419447968750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790794166720).

8419447968750 is an abundant number, since it is smaller than the sum of its proper divisors (21162140364690).

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

8419447968750 is an equidigital number, since it uses as much as digits as its factorization.

8419447968750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 8419447968750 in words is "eight trillion, four hundred nineteen billion, four hundred forty-seven million, nine hundred sixty-eight thousand, seven hundred fifty".