4006726688 has 96 divisors (see below), whose sum is σ = 8755568640. Its totient is φ = 1797223680.

The previous prime is 4006726687. The next prime is 4006726709. The reversal of 4006726688 is 8866276004.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (4006726687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883595 + ... + 888117.

It is an arithmetic number, because the mean of its divisors is an integer number (91203840).

Almost surely, 2^4006726688 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 4006726688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377784320).

4006726688 is an abundant number, since it is smaller than the sum of its proper divisors (4748841952).

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

4006726688 is a wasteful number, since it uses less digits than its factorization.

4006726688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 4006726688 is about 63298.7100026533. The cubic root of 4006726688 is about 1588.2903829340.

The spelling of 4006726688 in words is "four billion, six million, seven hundred twenty-six thousand, six hundred eighty-eight".