4612020800 has 84 divisors (see below), whose sum is σ = 11739897780. Its totient is φ = 1781176320.

The previous prime is 4612020779. The next prime is 4612020823. The reversal of 4612020800 is 80202164.

It can be written as a sum of positive squares in 6 ways, for example, as 100480576 + 4511540224 = 10024^2 + 67168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3299 + ... + 96098.

Almost surely, 2^4612020800 is an apocalyptic number.

4612020800 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 4612020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869948890).

4612020800 is an abundant number, since it is smaller than the sum of its proper divisors (7127876980).

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

4612020800 is a wasteful number, since it uses less digits than its factorization.

4612020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99448 (or 99433 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4612020800 is about 67911.8605252426. The cubic root of 4612020800 is about 1664.5509224234.

Adding to 4612020800 its reverse (80202164), we get a palindrome (4692222964).

The spelling of 4612020800 in words is "four billion, six hundred twelve million, twenty thousand, eight hundred".