9868645273600 has 117 divisors (see below), whose sum is σ = 24473745696747. Its totient is φ = 3947056005120.

The previous prime is 9868645273589. The next prime is 9868645273601. The reversal of 9868645273600 is 63725468689.

The square root of 9868645273600 is 3141440.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2808868737024 + 7059776536576 = 1675968^2 + 2657024^2 .

It is a super-2 number, since 2×9868645273600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9868645273601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1005255892 + ... + 1005265708.

Almost surely, 2^{9868645273600} is an apocalyptic number.

9868645273600 is the 3141440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9868645273600

9868645273600 is an abundant number, since it is smaller than the sum of its proper divisors (14605100423147).

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

9868645273600 is an frugal number, since it uses more digits than its factorization.

9868645273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19668 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

Multiplying 9868645273600 by its sum of digits (64), we get a square (631593297510400 = 25131520²).

9868645273600 divided by its sum of digits (64) gives a square (154197582400 = 392680²).

The spelling of 9868645273600 in words is "nine trillion, eight hundred sixty-eight billion, six hundred forty-five million, two hundred seventy-three thousand, six hundred".