9673867252800 has 504 divisors, whose sum is σ = 34924890780000. Its totient is φ = 2539120066560.

The previous prime is 9673867252793. The next prime is 9673867252801. The reversal of 9673867252800 is 82527683769.

9673867252800 is a `hidden beast` number, since 9 + 6 + 7 + 38 + 6 + 72 + 528 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (9673867252801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1446231856 + ... + 1446238544.

Almost surely, 2^{9673867252800} is an apocalyptic number.

9673867252800 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 9673867252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17462445390000).

9673867252800 is an abundant number, since it is smaller than the sum of its proper divisors (25251023527200).

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

9673867252800 is a wasteful number, since it uses less digits than its factorization.

9673867252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 9673867252800 in words is "nine trillion, six hundred seventy-three billion, eight hundred sixty-seven million, two hundred fifty-two thousand, eight hundred".