8729437073760 has 1152 divisors, whose sum is σ = 33369056203392. Its totient is φ = 2064384000000.

The previous prime is 8729437073743. The next prime is 8729437073767. The reversal of 8729437073760 is 673707349278.

8729437073760 is a `hidden beast` number, since 8 + 72 + 9 + 437 + 0 + 73 + 7 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8729437073767) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21769169560 + ... + 21769169960.

It is an arithmetic number, because the mean of its divisors is an integer number (28966194621).

Almost surely, 2^{8729437073760} is an apocalyptic number.

8729437073760 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 8729437073760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684528101696).

8729437073760 is an abundant number, since it is smaller than the sum of its proper divisors (24639619129632).

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

8729437073760 is a wasteful number, since it uses less digits than its factorization.

8729437073760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 63.

The spelling of 8729437073760 in words is "eight trillion, seven hundred twenty-nine billion, four hundred thirty-seven million, seventy-three thousand, seven hundred sixty".