8063201138720 has 768 divisors, whose sum is σ = 24466821120000. Its totient is φ = 2494461505536.

The previous prime is 8063201138701. The next prime is 8063201138731. The reversal of 8063201138720 is 278311023608.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9386729651 + ... + 9386730509.

It is an arithmetic number, because the mean of its divisors is an integer number (31857840000).

Almost surely, 2^{8063201138720} is an apocalyptic number.

8063201138720 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 8063201138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233410560000).

8063201138720 is an abundant number, since it is smaller than the sum of its proper divisors (16403619981280).

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

8063201138720 is a wasteful number, since it uses less digits than its factorization.

8063201138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 8063201138720 in words is "eight trillion, sixty-three billion, two hundred one million, one hundred thirty-eight thousand, seven hundred twenty".