9768941739648 has 3456 divisors, whose sum is σ = 40989944661120. Its totient is φ = 2295528947712.

The previous prime is 9768941739647. The next prime is 9768941739649. The reversal of 9768941739648 is 8469371498679.

9768941739648 is a `hidden beast` number, since 9 + 76 + 8 + 9 + 417 + 3 + 96 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (9768941739647) and next prime (9768941739649).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3950456832) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (9768941739647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 100710739536 + ... + 100710739632.

It is an arithmetic number, because the mean of its divisors is an integer number (11860516395).

Almost surely, 2^{9768941739648} is an apocalyptic number.

9768941739648 is a gapful number since it is divisible by the number (98) 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 9768941739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494972330560).

9768941739648 is an abundant number, since it is smaller than the sum of its proper divisors (31221002921472).

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

9768941739648 is a wasteful number, since it uses less digits than its factorization.

9768941739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 162 counting only the distinct ones).

The product of its digits is 3950456832, while the sum is 81.

The spelling of 9768941739648 in words is "nine trillion, seven hundred sixty-eight billion, nine hundred forty-one million, seven hundred thirty-nine thousand, six hundred forty-eight".