818120620800 has 1944 divisors, whose sum is σ = 3676398289200. Its totient is φ = 173016023040.

The previous prime is 818120620789. The next prime is 818120620813. The reversal of 818120620800 is 8026021818.

818120620800 is a `hidden beast` number, since 8 + 1 + 8 + 1 + 20 + 620 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13866451171 + ... + 13866451229.

Almost surely, 2^818120620800 is an apocalyptic number.

818120620800 is a gapful number since it is divisible by the number (80) 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 818120620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838199144600).

818120620800 is an abundant number, since it is smaller than the sum of its proper divisors (2858277668400).

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

818120620800 is a wasteful number, since it uses less digits than its factorization.

818120620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 93 counting only the distinct ones).

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

The spelling of 818120620800 in words is "eight hundred eighteen billion, one hundred twenty million, six hundred twenty thousand, eight hundred".