8738680743936 has 1512 divisors, whose sum is σ = 31527540044910. Its totient is φ = 2404314316800.

The previous prime is 8738680743917. The next prime is 8738680743941. The reversal of 8738680743936 is 6393470868378.

8738680743936 is a `hidden beast` number, since 8 + 7 + 3 + 86 + 80 + 7 + 439 + 36 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1194561561600 + 7544119182336 = 1092960^2 + 2746656^2 .

It is a super-2 number, since 2×8738680743936² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 143257061346 + ... + 143257061406.

Almost surely, 2^{8738680743936} 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 8738680743936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15763770022455).

8738680743936 is an abundant number, since it is smaller than the sum of its proper divisors (22788859300974).

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

8738680743936 is an equidigital number, since it uses as much as digits as its factorization.

8738680743936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 8738680743936 in words is "eight trillion, seven hundred thirty-eight billion, six hundred eighty million, seven hundred forty-three thousand, nine hundred thirty-six".