4006624356 has 108 divisors (see below), whose sum is σ = 11930929920. Its totient is φ = 1130220000.

The previous prime is 4006624313. The next prime is 4006624361. The reversal of 4006624356 is 6534266004.

4006624356 is a `hidden beast` number, since 400 + 6 + 6 + 243 + 5 + 6 = 666.

4006624356 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4006624356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124981 + ... + 153731.

Almost surely, 2^4006624356 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 4006624356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965464960).

4006624356 is an abundant number, since it is smaller than the sum of its proper divisors (7924305564).

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

4006624356 is a wasteful number, since it uses less digits than its factorization.

4006624356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28854 (or 28842 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4006624356 is about 63297.9016713824. The cubic root of 4006624356 is about 1588.2768611469.

The spelling of 4006624356 in words is "four billion, six million, six hundred twenty-four thousand, three hundred fifty-six".