97305968640 has 240 divisors, whose sum is σ = 312361257600. Its totient is φ = 25865748480.

The previous prime is 97305968633. The next prime is 97305968651. The reversal of 97305968640 is 4686950379.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147209910 + ... + 147210570.

It is an arithmetic number, because the mean of its divisors is an integer number (1301505240).

Almost surely, 2^97305968640 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 97305968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156180628800).

97305968640 is an abundant number, since it is smaller than the sum of its proper divisors (215055288960).

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

97305968640 is an equidigital number, since it uses as much as digits as its factorization.

97305968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 97305968640 in words is "ninety-seven billion, three hundred five million, nine hundred sixty-eight thousand, six hundred forty".