8471066400 has 288 divisors, whose sum is σ = 32251060800. Its totient is φ = 2139955200.

The previous prime is 8471066363. The next prime is 8471066407. The reversal of 8471066400 is 46601748.

8471066400 is a `hidden beast` number, since 8 + 4 + 7 + 1 + 0 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (8471066407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400080 + ... + 420720.

It is an arithmetic number, because the mean of its divisors is an integer number (111982850).

Almost surely, 2^8471066400 is an apocalyptic number.

8471066400 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 8471066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125530400).

8471066400 is an abundant number, since it is smaller than the sum of its proper divisors (23779994400).

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

8471066400 is a wasteful number, since it uses less digits than its factorization.

8471066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20689 (or 20670 counting only the distinct ones).

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

The square root of 8471066400 is about 92038.3963354425. The cubic root of 8471066400 is about 2038.5092915687.

The spelling of 8471066400 in words is "eight billion, four hundred seventy-one million, sixty-six thousand, four hundred".