4168768356 has 135 divisors (see below), whose sum is σ = 11631877257. Its totient is φ = 1301650560.

The previous prime is 4168768349. The next prime is 4168768363. The reversal of 4168768356 is 6538678614.

The square root of 4168768356 is 64566.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4168768349) and next prime (4168768363).

It can be written as a sum of positive squares in only one way, i.e., 3245580900 + 923187456 = 56970^2 + 30384^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19757091 + ... + 19757301.

Almost surely, 2^4168768356 is an apocalyptic number.

4168768356 is the 64566-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4168768356

4168768356 is an abundant number, since it is smaller than the sum of its proper divisors (7463108901).

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

4168768356 is a wasteful number, since it uses less digits than its factorization.

4168768356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 233 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The cubic root of 4168768356 is about 1609.4194833645.

The spelling of 4168768356 in words is "four billion, one hundred sixty-eight million, seven hundred sixty-eight thousand, three hundred fifty-six".