4006008720 has 360 divisors, whose sum is σ = 15745242240. Its totient is φ = 910103040.

The previous prime is 4006008701. The next prime is 4006008731. The reversal of 4006008720 is 278006004.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9560671 + ... + 9561089.

It is an arithmetic number, because the mean of its divisors is an integer number (43736784).

Almost surely, 2^4006008720 is an apocalyptic number.

4006008720 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 4006008720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872621120).

4006008720 is an abundant number, since it is smaller than the sum of its proper divisors (11739233520).

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

4006008720 is a wasteful number, since it uses less digits than its factorization.

4006008720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4006008720 is about 63293.0384797570. The cubic root of 4006008720 is about 1588.1955083328.

The spelling of 4006008720 in words is "four billion, six million, eight thousand, seven hundred twenty".