8738069726880 has 288 divisors, whose sum is σ = 32217028107264. Its totient is φ = 2143901841408.

The previous prime is 8738069726857. The next prime is 8738069726923. The reversal of 8738069726880 is 886279608378.

8738069726880 is a `hidden beast` number, since 87 + 380 + 6 + 97 + 2 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 8738069726799 and 8738069726808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4986817 + ... + 6507263.

It is an arithmetic number, because the mean of its divisors is an integer number (111864680928).

Almost surely, 2^{8738069726880} is an apocalyptic number.

8738069726880 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 8738069726880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108514053632).

8738069726880 is an abundant number, since it is smaller than the sum of its proper divisors (23478958380384).

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

8738069726880 is a wasteful number, since it uses less digits than its factorization.

8738069726880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520788 (or 1520777 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 8738069726880 in words is "eight trillion, seven hundred thirty-eight billion, sixty-nine million, seven hundred twenty-six thousand, eight hundred eighty".