97768196352 has 108 divisors (see below), whose sum is σ = 282070947340. Its totient is φ = 32568459264.

The previous prime is 97768196329. The next prime is 97768196363. The reversal of 97768196352 is 25369186779.

97768196352 is a `hidden beast` number, since 97 + 7 + 6 + 8 + 196 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74935777536 + 22832418816 = 273744^2 + 151104^2 .

It is a super-2 number, since 2×97768196352² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97768196352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3804924 + ... + 3830532.

Almost surely, 2^97768196352 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 97768196352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141035473670).

97768196352 is an abundant number, since it is smaller than the sum of its proper divisors (184302750988).

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

97768196352 is a wasteful number, since it uses less digits than its factorization.

97768196352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27288 (or 27271 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 97768196352 in words is "ninety-seven billion, seven hundred sixty-eight million, one hundred ninety-six thousand, three hundred fifty-two".