8475414624 has 144 divisors (see below), whose sum is σ = 25196082912. Its totient is φ = 2697345024.

The previous prime is 8475414587. The next prime is 8475414631. The reversal of 8475414624 is 4264145748.

8475414624 is a `hidden beast` number, since 8 + 4 + 7 + 5 + 4 + 14 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8475414624² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8475414624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5676022 + ... + 5677514.

It is an arithmetic number, because the mean of its divisors is an integer number (174972798).

Almost surely, 2^8475414624 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 8475414624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12598041456).

8475414624 is an abundant number, since it is smaller than the sum of its proper divisors (16720668288).

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

8475414624 is a wasteful number, since it uses less digits than its factorization.

8475414624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2378 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 8475414624 is about 92062.0150985193. The cubic root of 8475414624 is about 2038.8580229019.

It can be divided in two parts, 847541 and 4624, that added together give a triangular number (852165 = T₁₃₀₅).

The spelling of 8475414624 in words is "eight billion, four hundred seventy-five million, four hundred fourteen thousand, six hundred twenty-four".