9652712328000 has 3136 divisors, whose sum is σ = 43073430865920. Its totient is φ = 2096160768000.

The previous prime is 9652712327963. The next prime is 9652712328131. The reversal of 9652712328000 is 8232172569.

9652712328000 is a `hidden beast` number, since 9 + 6 + 527 + 12 + 32 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 122186231961 + ... + 122186232039.

Almost surely, 2^{9652712328000} is an apocalyptic number.

9652712328000 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 9652712328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21536715432960).

9652712328000 is an abundant number, since it is smaller than the sum of its proper divisors (33420718537920).

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

9652712328000 is an equidigital number, since it uses as much as digits as its factorization.

9652712328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 9652712328000 in words is "nine trillion, six hundred fifty-two billion, seven hundred twelve million, three hundred twenty-eight thousand".