4671801131680 has 96 divisors (see below), whose sum is σ = 11092420983168. Its totient is φ = 1859379379200.

The previous prime is 4671801131651. The next prime is 4671801131693. The reversal of 4671801131680 is 861311081764.

It is a self number, because there is not a number n which added to its sum of digits gives 4671801131680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29502315 + ... + 29660245.

It is an arithmetic number, because the mean of its divisors is an integer number (115546051908).

Almost surely, 2^{4671801131680} is an apocalyptic number.

4671801131680 is a gapful number since it is divisible by the number (40) 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 4671801131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546210491584).

4671801131680 is an abundant number, since it is smaller than the sum of its proper divisors (6420619851488).

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

4671801131680 is a wasteful number, since it uses less digits than its factorization.

4671801131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158870 (or 158862 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 4671801131680 in words is "four trillion, six hundred seventy-one billion, eight hundred one million, one hundred thirty-one thousand, six hundred eighty".