4168780824 has 128 divisors (see below), whose sum is σ = 11572404480. Its totient is φ = 1243123200.

The previous prime is 4168780801. The next prime is 4168780829. The reversal of 4168780824 is 4280878614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4168780829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3820519 + ... + 3821609.

It is an arithmetic number, because the mean of its divisors is an integer number (90409410).

Almost surely, 2^4168780824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4168780824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786202240).

4168780824 is an abundant number, since it is smaller than the sum of its proper divisors (7403623656).

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

4168780824 is a wasteful number, since it uses less digits than its factorization.

4168780824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 4168780824 is about 64566.0965522928. The cubic root of 4168780824 is about 1609.4210878530.

The spelling of 4168780824 in words is "four billion, one hundred sixty-eight million, seven hundred eighty thousand, eight hundred twenty-four".