4792032000 has 432 divisors, whose sum is σ = 19714723392. Its totient is φ = 1094860800.

The previous prime is 4792031963. The next prime is 4792032001. The reversal of 4792032000 is 2302974.

It is not an unprimeable number, because it can be changed into a prime (4792032001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014812 + ... + 2017188.

Almost surely, 2^4792032000 is an apocalyptic number.

4792032000 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 4792032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9857361696).

4792032000 is an abundant number, since it is smaller than the sum of its proper divisors (14922691392).

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

4792032000 is a wasteful number, since it uses less digits than its factorization.

4792032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4792032000 is about 69224.5043319199. The cubic root of 4792032000 is about 1685.9314148297.

Adding to 4792032000 its reverse (2302974), we get a palindrome (4794334974).

The spelling of 4792032000 in words is "four billion, seven hundred ninety-two million, thirty-two thousand".