8129797368000 has 4032 divisors, whose sum is σ = 37680864399360. Its totient is φ = 1532805120000.

The previous prime is 8129797367987. The next prime is 8129797368001. The reversal of 8129797368000 is 8637979218.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (8129797368001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 83812343952 + ... + 83812344048.

It is an arithmetic number, because the mean of its divisors is an integer number (9345452480).

Almost surely, 2^{8129797368000} is an apocalyptic number.

8129797368000 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 8129797368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18840432199680).

8129797368000 is an abundant number, since it is smaller than the sum of its proper divisors (29551067031360).

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

8129797368000 is a wasteful number, since it uses less digits than its factorization.

8129797368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 8129797368000 in words is "eight trillion, one hundred twenty-nine billion, seven hundred ninety-seven million, three hundred sixty-eight thousand".