97639386768 has 240 divisors, whose sum is σ = 353300054016. Its totient is φ = 25360801920.

The previous prime is 97639386743. The next prime is 97639386769. The reversal of 97639386768 is 86768393679.

97639386768 is a `hidden beast` number, since 97 + 6 + 393 + 86 + 76 + 8 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 97639386696 and 97639386705.

It is not an unprimeable number, because it can be changed into a prime (97639386769) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 136305 + ... + 462447.

Almost surely, 2^97639386768 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 97639386768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176650027008).

97639386768 is an abundant number, since it is smaller than the sum of its proper divisors (255660667248).

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

97639386768 is a wasteful number, since it uses less digits than its factorization.

97639386768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326184 (or 326166 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 97639386768 in words is "ninety-seven billion, six hundred thirty-nine million, three hundred eighty-six thousand, seven hundred sixty-eight".