4612356800 has 168 divisors, whose sum is σ = 11692890000. Its totient is φ = 1789931520.

The previous prime is 4612356769. The next prime is 4612356809. The reversal of 4612356800 is 86532164.

It is not an unprimeable number, because it can be changed into a prime (4612356809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9242951 + ... + 9243449.

Almost surely, 2^4612356800 is an apocalyptic number.

4612356800 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 4612356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846445000).

4612356800 is an abundant number, since it is smaller than the sum of its proper divisors (7080533200).

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

4612356800 is a wasteful number, since it uses less digits than its factorization.

4612356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 4612356800 is about 67914.3342748790. The cubic root of 4612356800 is about 1664.5913440052.

Adding to 4612356800 its reverse (86532164), we get a palindrome (4698888964).

The spelling of 4612356800 in words is "four billion, six hundred twelve million, three hundred fifty-six thousand, eight hundred".