8004620620800 has 924 divisors, whose sum is σ = 29894901101020. Its totient is φ = 2124109578240.

The previous prime is 8004620620769. The next prime is 8004620620811. The reversal of 8004620620800 is 80260264008.

8004620620800 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 6 + 20 + 620 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 293469225984 + 7711151394816 = 541728^2 + 2776896^2 .

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 (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4273688664 + ... + 4273690536.

Almost surely, 2^{8004620620800} is an apocalyptic number.

8004620620800 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 8004620620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947450550510).

8004620620800 is an abundant number, since it is smaller than the sum of its proper divisors (21890280480220).

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

8004620620800 is a wasteful number, since it uses less digits than its factorization.

8004620620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 8004620620800 its reverse (80260264008), we get a palindrome (8084880884808).

The spelling of 8004620620800 in words is "eight trillion, four billion, six hundred twenty million, six hundred twenty thousand, eight hundred".