8000729020416 has 384 divisors, whose sum is σ = 24882241063680. Its totient is φ = 2259222528000.

The previous prime is 8000729020411. The next prime is 8000729020439. The reversal of 8000729020416 is 6140209270008.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000729020411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 116007255 + ... + 116076201.

It is an arithmetic number, because the mean of its divisors is an integer number (64797502770).

Almost surely, 2^{8000729020416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000729020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441120531840).

8000729020416 is an abundant number, since it is smaller than the sum of its proper divisors (16881512043264).

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

8000729020416 is a wasteful number, since it uses less digits than its factorization.

8000729020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69101 (or 69081 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 8000729020416 in words is "eight trillion, seven hundred twenty-nine million, twenty thousand, four hundred sixteen".