4217769680 has 90 divisors (see below), whose sum is σ = 10068317826. Its totient is φ = 1643193344.

The previous prime is 4217769667. The next prime is 4217769709. The reversal of 4217769680 is 869677124.

It can be written as a sum of positive squares in 9 ways, for example, as 90478144 + 4127291536 = 9512^2 + 64244^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30786572 + ... + 30786708.

Almost surely, 2^4217769680 is an apocalyptic number.

4217769680 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 4217769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034158913).

4217769680 is an abundant number, since it is smaller than the sum of its proper divisors (5850548146).

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

4217769680 is an equidigital number, since it uses as much as digits as its factorization.

4217769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 4217769680 is about 64944.3583385039. The cubic root of 4217769680 is about 1615.7008501740.

The spelling of 4217769680 in words is "four billion, two hundred seventeen million, seven hundred sixty-nine thousand, six hundred eighty".