97068581232768 has 576 divisors, whose sum is σ = 300323931336000. Its totient is φ = 30085360680960.

The previous prime is 97068581232743. The next prime is 97068581232793. The reversal of 97068581232768 is 86723218586079.

97068581232768 is a `hidden beast` number, since 9 + 7 + 0 + 6 + 8 + 581 + 2 + 32 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (97068581232743) and next prime (97068581232793).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 97068581232696 and 97068581232705.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9987502213 + ... + 9987511931.

It is an arithmetic number, because the mean of its divisors is an integer number (521395714125).

Almost surely, 2^{97068581232768} 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 97068581232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150161965668000).

97068581232768 is an abundant number, since it is smaller than the sum of its proper divisors (203255350103232).

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

97068581232768 is a wasteful number, since it uses less digits than its factorization.

97068581232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133 (or 10101 counting only the distinct ones).

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

The spelling of 97068581232768 in words is "ninety-seven trillion, sixty-eight billion, five hundred eighty-one million, two hundred thirty-two thousand, seven hundred sixty-eight".