4107664773680 has 480 divisors, whose sum is σ = 10973023395840. Its totient is φ = 1427107368960.

The previous prime is 4107664773679. The next prime is 4107664773721. The reversal of 4107664773680 is 863774667014.

4107664773680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5713024361 + ... + 5713025079.

It is an arithmetic number, because the mean of its divisors is an integer number (22860465408).

Almost surely, 2^{4107664773680} is an apocalyptic number.

4107664773680 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 4107664773680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486511697920).

4107664773680 is an abundant number, since it is smaller than the sum of its proper divisors (6865358622160).

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

4107664773680 is a wasteful number, since it uses less digits than its factorization.

4107664773680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 59.

The spelling of 4107664773680 in words is "four trillion, one hundred seven billion, six hundred sixty-four million, seven hundred seventy-three thousand, six hundred eighty".