4671666994176 has 1408 divisors, whose sum is σ = 17801157427200. Its totient is φ = 1177194332160.

The previous prime is 4671666994171. The next prime is 4671666994219. The reversal of 4671666994176 is 6714996661764.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4671666994171) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6941555376 + ... + 6941556048.

Almost surely, 2^{4671666994176} 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 4671666994176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900578713600).

4671666994176 is an abundant number, since it is smaller than the sum of its proper divisors (13129490433024).

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

4671666994176 is a wasteful number, since it uses less digits than its factorization.

4671666994176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 818 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 4671666994176 in words is "four trillion, six hundred seventy-one billion, six hundred sixty-six million, nine hundred ninety-four thousand, one hundred seventy-six".