4507632000 has 384 divisors, whose sum is σ = 16904272320. Its totient is φ = 1148928000.

The previous prime is 4507631987. The next prime is 4507632011. The reversal of 4507632000 is 2367054.

It is a happy number.

4507632000 is a `hidden beast` number, since 450 + 7 + 6 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3311320 + ... + 3312680.

Almost surely, 2^4507632000 is an apocalyptic number.

4507632000 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 4507632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8452136160).

4507632000 is an abundant number, since it is smaller than the sum of its proper divisors (12396640320).

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

4507632000 is a wasteful number, since it uses less digits than its factorization.

4507632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4507632000 is about 67138.9007952915. The cubic root of 4507632000 is about 1651.8964420620.

Adding to 4507632000 its reverse (2367054), we get a palindrome (4509999054).

The spelling of 4507632000 in words is "four billion, five hundred seven million, six hundred thirty-two thousand".