4217628759766 has 16 divisors (see below), whose sum is σ = 6854367945744. Its totient is φ = 1938609114624.

The previous prime is 4217628759713. The next prime is 4217628759767. The reversal of 4217628759766 is 6679578267124.

It is a junction number, because it is equal to n+sod(n) for n = 4217628759695 and 4217628759704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217628759767) 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, 1442416035 + ... + 1442418958.

It is an arithmetic number, because the mean of its divisors is an integer number (428397996609).

Almost surely, 2^{4217628759766} is an apocalyptic number.

4217628759766 is a deficient number, since it is larger than the sum of its proper divisors (2636739185978).

4217628759766 is a wasteful number, since it uses less digits than its factorization.

4217628759766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884835055.

The product of its digits is 426746880, while the sum is 70.

The spelling of 4217628759766 in words is "four trillion, two hundred seventeen billion, six hundred twenty-eight million, seven hundred fifty-nine thousand, seven hundred sixty-six".