4006634616 has 48 divisors (see below), whose sum is σ = 10876563360. Its totient is φ = 1332435840.

The previous prime is 4006634603. The next prime is 4006634617. The reversal of 4006634616 is 6164366004.

4006634616 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 6 + 34 + 616 = 666.

4006634616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4006634616² = 32106241892258934912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006634617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33525 + ... + 95588.

It is an arithmetic number, because the mean of its divisors is an integer number (226595070).

Almost surely, 2^4006634616 is an apocalyptic number.

It is an amenable number.

4006634616 is an abundant number, since it is smaller than the sum of its proper divisors (6869928744).

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

4006634616 is a wasteful number, since it uses less digits than its factorization.

4006634616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129556 (or 129549 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4006634616 is about 63297.9827166712. The cubic root of 4006634616 is about 1588.2782168773.

The spelling of 4006634616 in words is "four billion, six million, six hundred thirty-four thousand, six hundred sixteen".