4632662034 has 192 divisors, whose sum is σ = 13843065600. Its totient is φ = 1080552960.

The previous prime is 4632662033. The next prime is 4632662051. The reversal of 4632662034 is 4302662364.

4632662034 is a `hidden beast` number, since 4 + 6 + 3 + 26 + 620 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4632662034.

It is not an unprimeable number, because it can be changed into a prime (4632662033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 663192 + ... + 670140.

It is an arithmetic number, because the mean of its divisors is an integer number (72099300).

Almost surely, 2^4632662034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4632662034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921532800).

4632662034 is an abundant number, since it is smaller than the sum of its proper divisors (9210403566).

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

4632662034 is a wasteful number, since it uses less digits than its factorization.

4632662034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7025 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 4632662034 is about 68063.6616264509. The cubic root of 4632662034 is about 1667.0304757711.

It can be divided in two parts, 4632 and 662034, that added together give a palindrome (666666).

The spelling of 4632662034 in words is "four billion, six hundred thirty-two million, six hundred sixty-two thousand, thirty-four".