4001599680 has 224 divisors, whose sum is σ = 13739701248. Its totient is φ = 980889600.

The previous prime is 4001599673. The next prime is 4001599681. The reversal of 4001599680 is 869951004.

It is a super-2 number, since 2×4001599680² = 32025599997952204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4001599681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3880765 + ... + 3881795.

It is an arithmetic number, because the mean of its divisors is an integer number (61337952).

Almost surely, 2^4001599680 is an apocalyptic number.

4001599680 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 4001599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869850624).

4001599680 is an abundant number, since it is smaller than the sum of its proper divisors (9738101568).

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

4001599680 is a wasteful number, since it uses less digits than its factorization.

4001599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 4001599680 is about 63258.1985200337. The cubic root of 4001599680 is about 1587.6126349082.

The spelling of 4001599680 in words is "four billion, one million, five hundred ninety-nine thousand, six hundred eighty".