4835072000 has 384 divisors, whose sum is σ = 14074482240. Its totient is φ = 1638400000.

The previous prime is 4835071993. The next prime is 4835072003. The reversal of 4835072000 is 2705384.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4835072003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47871950 + ... + 47872050.

Almost surely, 2^4835072000 is an apocalyptic number.

4835072000 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 4835072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037241120).

4835072000 is an abundant number, since it is smaller than the sum of its proper divisors (9239410240).

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

4835072000 is a wasteful number, since it uses less digits than its factorization.

4835072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 4835072000 is about 69534.6819939518. The cubic root of 4835072000 is about 1690.9638188840.

Adding to 4835072000 its reverse (2705384), we get a palindrome (4837777384).

The spelling of 4835072000 in words is "four billion, eight hundred thirty-five million, seventy-two thousand".