4008624672 has 48 divisors (see below), whose sum is σ = 11332077120. Its totient is φ = 1233422592.

The previous prime is 4008624671. The next prime is 4008624743. The reversal of 4008624672 is 2764268004.

4008624672 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4008624672.

It is not an unprimeable number, because it can be changed into a prime (4008624671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1604772 + ... + 1607267.

It is an arithmetic number, because the mean of its divisors is an integer number (236084940).

Almost surely, 2^4008624672 is an apocalyptic number.

It is an amenable number.

4008624672 is an abundant number, since it is smaller than the sum of its proper divisors (7323452448).

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

4008624672 is a wasteful number, since it uses less digits than its factorization.

4008624672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212065 (or 3212057 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4008624672 is about 63313.7005078680. The cubic root of 4008624672 is about 1588.5411340747.

The spelling of 4008624672 in words is "four billion, eight million, six hundred twenty-four thousand, six hundred seventy-two".