8034027456 has 504 divisors, whose sum is σ = 27808879104. Its totient is φ = 2037934080.

The previous prime is 8034027389. The next prime is 8034027473. The reversal of 8034027456 is 6547204308.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49288431 + ... + 49288593.

Almost surely, 2^8034027456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8034027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904439552).

8034027456 is an abundant number, since it is smaller than the sum of its proper divisors (19774851648).

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

8034027456 is a wasteful number, since it uses less digits than its factorization.

8034027456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 8034027456 is about 89632.7365196444. The cubic root of 8034027456 is about 2002.8316104325.

The spelling of 8034027456 in words is "eight billion, thirty-four million, twenty-seven thousand, four hundred fifty-six".