4002603660 has 432 divisors, whose sum is σ = 14284408320. Its totient is φ = 933586560.

The previous prime is 4002603637. The next prime is 4002603673. The reversal of 4002603660 is 663062004.

4002603660 is a `hidden beast` number, since 40 + 0 + 260 + 366 + 0 = 666.

4002603660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67840711 + ... + 67840769.

It is an arithmetic number, because the mean of its divisors is an integer number (33065760).

Almost surely, 2^4002603660 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 4002603660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142204160).

4002603660 is an abundant number, since it is smaller than the sum of its proper divisors (10281804660).

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

4002603660 is a wasteful number, since it uses less digits than its factorization.

4002603660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4002603660 is about 63266.1335945227. The cubic root of 4002603660 is about 1587.7453983175.

Adding to 4002603660 its reverse (663062004), we get a palindrome (4665665664).

The spelling of 4002603660 in words is "four billion, two million, six hundred three thousand, six hundred sixty".