4006556736 has 672 divisors, whose sum is σ = 14710574592. Its totient is φ = 949616640.

The previous prime is 4006556641. The next prime is 4006556759. The reversal of 4006556736 is 6376556004.

4006556736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85245865 + ... + 85245911.

It is an arithmetic number, because the mean of its divisors is an integer number (21890736).

Almost surely, 2^4006556736 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 4006556736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355287296).

4006556736 is an abundant number, since it is smaller than the sum of its proper divisors (10704017856).

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

4006556736 is a wasteful number, since it uses less digits than its factorization.

4006556736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 4006556736 is about 63297.3675281998. The cubic root of 4006556736 is about 1588.2679259539.

The spelling of 4006556736 in words is "four billion, six million, five hundred fifty-six thousand, seven hundred thirty-six".