4006800000 has 768 divisors, whose sum is σ = 17211398400. Its totient is φ = 898560000.

The previous prime is 4006799981. The next prime is 4006800029. The reversal of 4006800000 is 86004.

4006800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75599974 + ... + 75600026.

It is an arithmetic number, because the mean of its divisors is an integer number (22410675).

Almost surely, 2^4006800000 is an apocalyptic number.

4006800000 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 4006800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605699200).

4006800000 is an abundant number, since it is smaller than the sum of its proper divisors (13204598400).

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

4006800000 is an frugal number, since it uses more digits than its factorization.

4006800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4006800000 is about 63299.2890955341. The cubic root of 4006800000 is about 1588.3000699797.

Adding to 4006800000 its reverse (86004), we get a palindrome (4006886004).

The spelling of 4006800000 in words is "four billion, six million, eight hundred thousand".