8104943721600 has 480 divisors, whose sum is σ = 32628038390640. Its totient is φ = 1964834150400.

The previous prime is 8104943721587. The next prime is 8104943721617. The reversal of 8104943721600 is 61273494018.

8104943721600 is a `hidden beast` number, since 8 + 1 + 0 + 4 + 9 + 4 + 37 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8104943721600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1429879 + ... + 4272521.

Almost surely, 2^{8104943721600} is an apocalyptic number.

8104943721600 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 8104943721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314019195320).

8104943721600 is an abundant number, since it is smaller than the sum of its proper divisors (24523094669040).

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

8104943721600 is a wasteful number, since it uses less digits than its factorization.

8104943721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842690 (or 2842664 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 8104943721600 in words is "eight trillion, one hundred four billion, nine hundred forty-three million, seven hundred twenty-one thousand, six hundred".