9714545786880 has 816 divisors, whose sum is σ = 38674417429440. Its totient is φ = 2230950297600.

The previous prime is 9714545786867. The next prime is 9714545786947. The reversal of 9714545786880 is 886875454179.

It is a happy number.

9714545786880 is a `hidden beast` number, since 9 + 7 + 1 + 4 + 545 + 78 + 6 + 8 + 8 + 0 = 666.

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 = 9714545786799 and 9714545786808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616358200 + ... + 616373960.

Almost surely, 2^{9714545786880} is an apocalyptic number.

9714545786880 is a gapful number since it is divisible by the number (90) 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 9714545786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19337208714720).

9714545786880 is an abundant number, since it is smaller than the sum of its proper divisors (28959871642560).

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

9714545786880 is a wasteful number, since it uses less digits than its factorization.

9714545786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15834 (or 15801 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 9714545786880 in words is "nine trillion, seven hundred fourteen billion, five hundred forty-five million, seven hundred eighty-six thousand, eight hundred eighty".