4063784641657 has 8 divisors (see below), whose sum is σ = 4483124520840. Its totient is φ = 3659693485440.

The previous prime is 4063784641649. The next prime is 4063784641661. The reversal of 4063784641657 is 7561464873604.

It can be written as a sum of positive squares in 4 ways, for example, as 371637763641 + 3692146878016 = 609621^2 + 1921496^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4063784641657 - 2³ = 4063784641649 is a prime.

It is a super-4 number, since 4×4063784641657⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4063784641595 and 4063784641604.

It is not an unprimeable number, because it can be changed into a prime (4063784641627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3812180182 + ... + 3812181247.

It is an arithmetic number, because the mean of its divisors is an integer number (560390565105).

Almost surely, 2^{4063784641657} is an apocalyptic number.

It is an amenable number.

4063784641657 is a deficient number, since it is larger than the sum of its proper divisors (419339879183).

4063784641657 is a wasteful number, since it uses less digits than its factorization.

4063784641657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7624361483.

The product of its (nonzero) digits is 81285120, while the sum is 61.

The spelling of 4063784641657 in words is "four trillion, sixty-three billion, seven hundred eighty-four million, six hundred forty-one thousand, six hundred fifty-seven".