8084367820800 has 1152 divisors, whose sum is σ = 31416145488000. Its totient is φ = 2032061644800.

The previous prime is 8084367820783. The next prime is 8084367820849. The reversal of 8084367820800 is 80287634808.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 95 ways as a sum of consecutive naturals, for example, 6119884140 + ... + 6119885460.

It is an arithmetic number, because the mean of its divisors is an integer number (27270959625).

Almost surely, 2^{8084367820800} is an apocalyptic number.

8084367820800 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 8084367820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15708072744000).

8084367820800 is an abundant number, since it is smaller than the sum of its proper divisors (23331777667200).

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

8084367820800 is a wasteful number, since it uses less digits than its factorization.

8084367820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 8084367820800 in words is "eight trillion, eighty-four billion, three hundred sixty-seven million, eight hundred twenty thousand, eight hundred".