4818106800 has 840 divisors, whose sum is σ = 19763818368. Its totient is φ = 1119744000.

The previous prime is 4818106781. The next prime is 4818106801. The reversal of 4818106800 is 86018184.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4818106801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 117514780 + ... + 117514820.

Almost surely, 2^4818106800 is an apocalyptic number.

4818106800 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 4818106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9881909184).

4818106800 is an abundant number, since it is smaller than the sum of its proper divisors (14945711568).

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

4818106800 is a wasteful number, since it uses less digits than its factorization.

4818106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 4818106800 is about 69412.5838735312. The cubic root of 4818106800 is about 1688.9837616629.

The spelling of 4818106800 in words is "four billion, eight hundred eighteen million, one hundred six thousand, eight hundred".