4006287720 has 96 divisors (see below), whose sum is σ = 13055234400. Its totient is φ = 1065488256.

The previous prime is 4006287709. The next prime is 4006287751. The reversal of 4006287720 is 277826004.

4006287720 is a `hidden beast` number, since 4 + 0 + 0 + 628 + 7 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121759 + ... + 151121.

It is an arithmetic number, because the mean of its divisors is an integer number (135992025).

Almost surely, 2^4006287720 is an apocalyptic number.

4006287720 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 4006287720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6527617200).

4006287720 is an abundant number, since it is smaller than the sum of its proper divisors (9048946680).

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

4006287720 is a wasteful number, since it uses less digits than its factorization.

4006287720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29759 (or 29752 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4006287720 is about 63295.2424752445. The cubic root of 4006287720 is about 1588.2323776369.

The spelling of 4006287720 in words is "four billion, six million, two hundred eighty-seven thousand, seven hundred twenty".