97640682568900 has 243 divisors, whose sum is σ = 225907879171527. Its totient is φ = 36625742524800.

The previous prime is 97640682568831. The next prime is 97640682568901. The reversal of 97640682568900 is 986528604679.

The square root of 97640682568900 is 9881330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 98353740996 + 97542328827904 = 313614^2 + 9876352^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97640682568900.

It is not an unprimeable number, because it can be changed into a prime (97640682568901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 245946303502 + ... + 245946303898.

Almost surely, 2^{97640682568900} is an apocalyptic number.

97640682568900 is the 9881330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97640682568900

97640682568900 is an abundant number, since it is smaller than the sum of its proper divisors (128267196602627).

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

97640682568900 is a wasteful number, since it uses less digits than its factorization.

97640682568900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 70.

The spelling of 97640682568900 in words is "ninety-seven trillion, six hundred forty billion, six hundred eighty-two million, five hundred sixty-eight thousand, nine hundred".