8476434144864 has 216 divisors, whose sum is σ = 28072215917928. Its totient is φ = 2419085813760.

The previous prime is 8476434144833. The next prime is 8476434144881. The reversal of 8476434144864 is 4684414346748.

8476434144864 is a `hidden beast` number, since 8 + 4 + 76 + 43 + 41 + 4 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12091779 + ... + 12773565.

It is an arithmetic number, because the mean of its divisors is an integer number (129963962583).

Almost surely, 2^{8476434144864} is an apocalyptic number.

8476434144864 is a gapful number since it is divisible by the number (84) 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 8476434144864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14036107958964).

8476434144864 is an abundant number, since it is smaller than the sum of its proper divisors (19595781773064).

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

8476434144864 is a wasteful number, since it uses less digits than its factorization.

8476434144864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682698 (or 682680 counting only the distinct ones).

The product of its digits is 198180864, while the sum is 63.

The spelling of 8476434144864 in words is "eight trillion, four hundred seventy-six billion, four hundred thirty-four million, one hundred forty-four thousand, eight hundred sixty-four".