8474006016 has 240 divisors, whose sum is σ = 28917345600. Its totient is φ = 2337398784.

The previous prime is 8474005937. The next prime is 8474006027. The reversal of 8474006016 is 6106004748.

8474006016 is a `hidden beast` number, since 8 + 4 + 7 + 40 + 0 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 930895 + ... + 939953.

It is an arithmetic number, because the mean of its divisors is an integer number (120488940).

Almost surely, 2^8474006016 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 8474006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458672800).

8474006016 is an abundant number, since it is smaller than the sum of its proper divisors (20443339584).

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

8474006016 is a wasteful number, since it uses less digits than its factorization.

8474006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8474006016 is about 92054.3644592694. The cubic root of 8474006016 is about 2038.7450643833.

The spelling of 8474006016 in words is "eight billion, four hundred seventy-four million, six thousand, sixteen".