4029644640 has 768 divisors, whose sum is σ = 16721510400. Its totient is φ = 793608192.

The previous prime is 4029644609. The next prime is 4029644693. The reversal of 4029644640 is 464469204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51008121 + ... + 51008199.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 2^4029644640 is an apocalyptic number.

4029644640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4029644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360755200).

4029644640 is an abundant number, since it is smaller than the sum of its proper divisors (12691865760).

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

4029644640 is a wasteful number, since it uses less digits than its factorization.

4029644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 4029644640 is about 63479.4820394748. The cubic root of 4029644640 is about 1591.3128984451.

The spelling of 4029644640 in words is "four billion, twenty-nine million, six hundred forty-four thousand, six hundred forty".