4079752880 has 160 divisors (see below), whose sum is σ = 11442124800. Its totient is φ = 1322551296.

The previous prime is 4079752849. The next prime is 4079752883. The reversal of 4079752880 is 882579704.

It is not an unprimeable number, because it can be changed into a prime (4079752883) 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, 1144541 + ... + 1148099.

It is an arithmetic number, because the mean of its divisors is an integer number (71513280).

Almost surely, 2^4079752880 is an apocalyptic number.

4079752880 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 4079752880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721062400).

4079752880 is an abundant number, since it is smaller than the sum of its proper divisors (7362371920).

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

4079752880 is a wasteful number, since it uses less digits than its factorization.

4079752880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The square root of 4079752880 is about 63872.9432545581. The cubic root of 4079752880 is about 1597.8816862879.

The spelling of 4079752880 in words is "four billion, seventy-nine million, seven hundred fifty-two thousand, eight hundred eighty".