4072683888 has 320 divisors, whose sum is σ = 14576844800. Its totient is φ = 1073274624.

The previous prime is 4072683859. The next prime is 4072683889. The reversal of 4072683888 is 8883862704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072683889) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3183633 + ... + 3184911.

It is an arithmetic number, because the mean of its divisors is an integer number (45552640).

Almost surely, 2^4072683888 is an apocalyptic number.

4072683888 is a gapful number since it is divisible by the number (48) 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 4072683888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288422400).

4072683888 is an abundant number, since it is smaller than the sum of its proper divisors (10504160912).

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

4072683888 is a wasteful number, since it uses less digits than its factorization.

4072683888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 4072683888 is about 63817.5829062806. The cubic root of 4072683888 is about 1596.9582690014.

The spelling of 4072683888 in words is "four billion, seventy-two million, six hundred eighty-three thousand, eight hundred eighty-eight".