4638332160 has 1080 divisors, whose sum is σ = 21315371616. Its totient is φ = 952197120.

The previous prime is 4638332159. The next prime is 4638332177. The reversal of 4638332160 is 612338364.

4638332160 is a `hidden beast` number, since 4 + 638 + 3 + 3 + 2 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55883479 + ... + 55883561.

Almost surely, 2^4638332160 is an apocalyptic number.

4638332160 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 4638332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10657685808).

4638332160 is an abundant number, since it is smaller than the sum of its proper divisors (16677039456).

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

4638332160 is a wasteful number, since it uses less digits than its factorization.

4638332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4638332160 is about 68105.3019962470. The cubic root of 4638332160 is about 1667.7103166515.

The spelling of 4638332160 in words is "four billion, six hundred thirty-eight million, three hundred thirty-two thousand, one hundred sixty".