9703274840064 has 575 divisors, whose sum is σ = 31405778591627. Its totient is φ = 2985623027712.

The previous prime is 9703274840059. The next prime is 9703274840069. The reversal of 9703274840064 is 4600484723079.

The square root of 9703274840064 is 3115008.

It is a perfect power (a square), and thus also a powerful number.

9703274840064 is a `hidden beast` number, since 9 + 70 + 32 + 7 + 484 + 0 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (9703274840059) and next prime (9703274840069).

It can be written as a sum of positive squares in 2 ways, for example, as 4811038654464 + 4892236185600 = 2193408^2 + 2211840^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=1248.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9703274840069) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 746405756922 + ... + 746405756934.

Almost surely, 2^{9703274840064} is an apocalyptic number.

9703274840064 is the 3115008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9703274840064

9703274840064 is an abundant number, since it is smaller than the sum of its proper divisors (21702503751563).

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

9703274840064 is an frugal number, since it uses more digits than its factorization.

9703274840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 9703274840064 in words is "nine trillion, seven hundred three billion, two hundred seventy-four million, eight hundred forty thousand, sixty-four".