4071606106764 has 288 divisors, whose sum is σ = 11688664006656. Its totient is φ = 1078343925120.

The previous prime is 4071606106727. The next prime is 4071606106801. The reversal of 4071606106764 is 4676016061704.

It is an interprime number because it is at equal distance from previous prime (4071606106727) and next prime (4071606106801).

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, 477491469 + ... + 477499995.

It is an arithmetic number, because the mean of its divisors is an integer number (40585638912).

Almost surely, 2^{4071606106764} 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 4071606106764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844332003328).

4071606106764 is an abundant number, since it is smaller than the sum of its proper divisors (7617057899892).

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

4071606106764 is a wasteful number, since it uses less digits than its factorization.

4071606106764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8753 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 4071606106764 in words is "four trillion, seventy-one billion, six hundred six million, one hundred six thousand, seven hundred sixty-four".