97346368788480 has 1920 divisors, whose sum is σ = 413057316672000. Its totient is φ = 21914208239616.

The previous prime is 97346368788479. The next prime is 97346368788481. The reversal of 97346368788480 is 8488786364379.

97346368788480 is a `hidden beast` number, since 9 + 7 + 3 + 4 + 6 + 3 + 68 + 78 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (97346368788479) and next prime (97346368788481).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 97346368788480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97346368788481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19061358087 + ... + 19061363193.

It is an arithmetic number, because the mean of its divisors is an integer number (215134019100).

Almost surely, 2^{97346368788480} is an apocalyptic number.

97346368788480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97346368788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206528658336000).

97346368788480 is an abundant number, since it is smaller than the sum of its proper divisors (315710947883520).

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

97346368788480 is an equidigital number, since it uses as much as digits as its factorization.

97346368788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 9364045824, while the sum is 81.

The spelling of 97346368788480 in words is "ninety-seven trillion, three hundred forty-six billion, three hundred sixty-eight million, seven hundred eighty-eight thousand, four hundred eighty".