8065036601600 has 648 divisors, whose sum is σ = 22709599305120. Its totient is φ = 2812092416000.

The previous prime is 8065036601569. The next prime is 8065036601701. The reversal of 8065036601600 is 61066305608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10597945220 + ... + 10597945980.

It is an arithmetic number, because the mean of its divisors is an integer number (35045677940).

Almost surely, 2^{8065036601600} is an apocalyptic number.

8065036601600 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 8065036601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11354799652560).

8065036601600 is an abundant number, since it is smaller than the sum of its proper divisors (14644562703520).

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

8065036601600 is a wasteful number, since it uses less digits than its factorization.

8065036601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 8065036601600 in words is "eight trillion, sixty-five billion, thirty-six million, six hundred one thousand, six hundred".