9652868776800 has 576 divisors, whose sum is σ = 37023202863360. Its totient is φ = 2418853847040.

The previous prime is 9652868776763. The next prime is 9652868776801. The reversal of 9652868776800 is 86778682569.

9652868776800 is a `hidden beast` number, since 96 + 528 + 6 + 8 + 7 + 7 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9652868776801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236089159 + ... + 236130041.

It is an arithmetic number, because the mean of its divisors is an integer number (64276393860).

Almost surely, 2^{9652868776800} is an apocalyptic number.

9652868776800 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 9652868776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511601431680).

9652868776800 is an abundant number, since it is smaller than the sum of its proper divisors (27370334086560).

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

9652868776800 is a wasteful number, since it uses less digits than its factorization.

9652868776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41572 (or 41553 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 9652868776800 in words is "nine trillion, six hundred fifty-two billion, eight hundred sixty-eight million, seven hundred seventy-six thousand, eight hundred".