4811632000 has 128 divisors (see below), whose sum is σ = 13672226880. Its totient is φ = 1649664000.

The previous prime is 4811631997. The next prime is 4811632031. The reversal of 4811632000 is 2361184.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90520 + ... + 133480.

Almost surely, 2^4811632000 is an apocalyptic number.

4811632000 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 4811632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836113440).

4811632000 is an abundant number, since it is smaller than the sum of its proper divisors (8860594880).

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

4811632000 is an equidigital number, since it uses as much as digits as its factorization.

4811632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42997 (or 42975 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4811632000 is about 69365.9282356980. The cubic root of 4811632000 is about 1688.2268437232.

Adding to 4811632000 its reverse (2361184), we get a palindrome (4813993184).

The spelling of 4811632000 in words is "four billion, eight hundred eleven million, six hundred thirty-two thousand".