8342723304000 has 280 divisors, whose sum is σ = 30863598270648. Its totient is φ = 2224726041600.

The previous prime is 8342723303963. The next prime is 8342723304007. The reversal of 8342723304000 is 4033272438.

8342723304000 is a `hidden beast` number, since 8 + 342 + 7 + 2 + 3 + 304 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101322529344 + 8241400774656 = 318312^2 + 2870784^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8342723304007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5789287 + ... + 7085286.

Almost surely, 2^{8342723304000} is an apocalyptic number.

8342723304000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8342723304000 is an abundant number, since it is smaller than the sum of its proper divisors (22520874966648).

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

8342723304000 is a wasteful number, since it uses less digits than its factorization.

8342723304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12874612 (or 12874583 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 8342723304000 its reverse (4033272438), we get a palindrome (8346756576438).

The spelling of 8342723304000 in words is "eight trillion, three hundred forty-two billion, seven hundred twenty-three million, three hundred four thousand".