4007633634 has 48 divisors (see below), whose sum is σ = 9161380800. Its totient is φ = 1262638368.

The previous prime is 4007633563. The next prime is 4007633657. The reversal of 4007633634 is 4363367004.

It is a super-2 number, since 2×4007633634² = 32122254688736091912, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136792 + ... + 163484.

It is an arithmetic number, because the mean of its divisors is an integer number (190862100).

Almost surely, 2^4007633634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007633634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580690400).

4007633634 is an abundant number, since it is smaller than the sum of its proper divisors (5153747166).

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

4007633634 is a wasteful number, since it uses less digits than its factorization.

4007633634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27159 (or 27156 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 4007633634 is about 63305.8736137493. The cubic root of 4007633634 is about 1588.4102134962.

The spelling of 4007633634 in words is "four billion, seven million, six hundred thirty-three thousand, six hundred thirty-four".