9681950664288 has 1152 divisors, whose sum is σ = 36861408460800. Its totient is φ = 2413652484096.

The previous prime is 9681950664263. The next prime is 9681950664329. The reversal of 9681950664288 is 8824660591869.

9681950664288 is a `hidden beast` number, since 9 + 6 + 8 + 195 + 0 + 6 + 6 + 428 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1560846595 + ... + 1560852797.

It is an arithmetic number, because the mean of its divisors is an integer number (31997750400).

Almost surely, 2^{9681950664288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9681950664288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18430704230400).

9681950664288 is an abundant number, since it is smaller than the sum of its proper divisors (27179457796512).

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

9681950664288 is a wasteful number, since it uses less digits than its factorization.

9681950664288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 9681950664288 in words is "nine trillion, six hundred eighty-one billion, nine hundred fifty million, six hundred sixty-four thousand, two hundred eighty-eight".