8045084436480 has 2016 divisors, whose sum is σ = 35855949991680. Its totient is φ = 1695561154560.

The previous prime is 8045084436449. The next prime is 8045084436491. The reversal of 8045084436480 is 846344805408.

It is a happy number.

8045084436480 is a `hidden beast` number, since 8 + 0 + 4 + 50 + 84 + 4 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

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, 8831047225 + ... + 8831048135.

It is an arithmetic number, because the mean of its divisors is an integer number (17785689480).

Almost surely, 2^{8045084436480} is an apocalyptic number.

8045084436480 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 8045084436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17927974995840).

8045084436480 is an abundant number, since it is smaller than the sum of its proper divisors (27810865555200).

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

8045084436480 is an equidigital number, since it uses as much as digits as its factorization.

8045084436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 8045084436480 in words is "eight trillion, forty-five billion, eighty-four million, four hundred thirty-six thousand, four hundred eighty".