4217768688 has 120 divisors (see below), whose sum is σ = 12717056592. Its totient is φ = 1201062912.

The previous prime is 4217768623. The next prime is 4217768707. The reversal of 4217768688 is 8868677124.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 742756 + ... + 748412.

Almost surely, 2^4217768688 is an apocalyptic number.

4217768688 is a gapful number since it is divisible by the number (48) 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 4217768688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358528296).

4217768688 is an abundant number, since it is smaller than the sum of its proper divisors (8499287904).

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

4217768688 is a wasteful number, since it uses less digits than its factorization.

4217768688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5986 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 57.

The square root of 4217768688 is about 64944.3507011965. The cubic root of 4217768688 is about 1615.7007235056.

The spelling of 4217768688 in words is "four billion, two hundred seventeen million, seven hundred sixty-eight thousand, six hundred eighty-eight".