8049673209600 has 2592 divisors, whose sum is σ = 34973156574720. Its totient is φ = 1810169856000.

The previous prime is 8049673209547. The next prime is 8049673209623. The reversal of 8049673209600 is 69023769408.

It is a happy number.

8049673209600 is a `hidden beast` number, since 8 + 0 + 4 + 9 + 6 + 7 + 3 + 20 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 25883193445 + ... + 25883193755.

It is an arithmetic number, because the mean of its divisors is an integer number (13492730160).

Almost surely, 2^{8049673209600} is an apocalyptic number.

8049673209600 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 8049673209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17486578287360).

8049673209600 is an abundant number, since it is smaller than the sum of its proper divisors (26923483365120).

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

8049673209600 is a wasteful number, since it uses less digits than its factorization.

8049673209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 8049673209600 in words is "eight trillion, forty-nine billion, six hundred seventy-three million, two hundred nine thousand, six hundred".