4638201984 has 192 divisors, whose sum is σ = 14433695640. Its totient is φ = 1421180928.

The previous prime is 4638201983. The next prime is 4638201991. The reversal of 4638201984 is 4891028364.

It is a happy number.

4638201984 is a `hidden beast` number, since 4 + 638 + 2 + 0 + 1 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3172843584 + 1465358400 = 56328^2 + 38280^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4638201983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4746904 + ... + 4747880.

Almost surely, 2^4638201984 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 4638201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216847820).

4638201984 is an abundant number, since it is smaller than the sum of its proper divisors (9795493656).

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

4638201984 is a wasteful number, since it uses less digits than its factorization.

4638201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4638201984 is about 68104.3462930230. The cubic root of 4638201984 is about 1667.6947149308.

The spelling of 4638201984 in words is "four billion, six hundred thirty-eight million, two hundred one thousand, nine hundred eighty-four".