8064423612000 has 1536 divisors, whose sum is σ = 35409733632000. Its totient is φ = 1741537843200.

The previous prime is 8064423611953. The next prime is 8064423612023. The reversal of 8064423612000 is 2163244608.

8064423612000 is a `hidden beast` number, since 8 + 0 + 6 + 442 + 3 + 6 + 1 + 200 + 0 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8891315547 + ... + 8891316453.

It is an arithmetic number, because the mean of its divisors is an integer number (23053212000).

Almost surely, 2^{8064423612000} is an apocalyptic number.

8064423612000 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 8064423612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704866816000).

8064423612000 is an abundant number, since it is smaller than the sum of its proper divisors (27345310020000).

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

8064423612000 is a wasteful number, since it uses less digits than its factorization.

8064423612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 8064423612000 its reverse (2163244608), we get a palindrome (8066586856608).

The spelling of 8064423612000 in words is "eight trillion, sixty-four billion, four hundred twenty-three million, six hundred twelve thousand".