4636984000 has 448 divisors, whose sum is σ = 13694054400. Its totient is φ = 1537536000.

The previous prime is 4636983941. The next prime is 4636984007. The reversal of 4636984000 is 4896364.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4636984007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58695961 + ... + 58696039.

Almost surely, 2^4636984000 is an apocalyptic number.

4636984000 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 4636984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847027200).

4636984000 is an abundant number, since it is smaller than the sum of its proper divisors (9057070400).

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

4636984000 is a wasteful number, since it uses less digits than its factorization.

4636984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 4636984000 is about 68095.4036628024. The cubic root of 4636984000 is about 1667.5487242135.

The spelling of 4636984000 in words is "four billion, six hundred thirty-six million, nine hundred eighty-four thousand".