4632427590 has 64 divisors (see below), whose sum is σ = 12762192384. Its totient is φ = 1054165248.

The previous prime is 4632427561. The next prime is 4632427603. The reversal of 4632427590 is 957242364.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919 + ... + 96258.

It is an arithmetic number, because the mean of its divisors is an integer number (199409256).

Almost surely, 2^4632427590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4632427590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381096192).

4632427590 is an abundant number, since it is smaller than the sum of its proper divisors (8129764794).

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

4632427590 is a wasteful number, since it uses less digits than its factorization.

4632427590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97421.

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4632427590 is about 68061.9393640822. The cubic root of 4632427590 is about 1667.0023542949.

The spelling of 4632427590 in words is "four billion, six hundred thirty-two million, four hundred twenty-seven thousand, five hundred ninety".