97330433760 has 384 divisors, whose sum is σ = 391518489600. Its totient is φ = 22121441280.

The previous prime is 97330433729. The next prime is 97330433777. The reversal of 97330433760 is 6733403379.

97330433760 is a `hidden beast` number, since 9 + 7 + 3 + 304 + 337 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5403970 + ... + 5421950.

It is an arithmetic number, because the mean of its divisors is an integer number (1019579400).

Almost surely, 2^97330433760 is an apocalyptic number.

97330433760 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 97330433760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195759244800).

97330433760 is an abundant number, since it is smaller than the sum of its proper divisors (294188055840).

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

97330433760 is a wasteful number, since it uses less digits than its factorization.

97330433760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18191 (or 18177 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 45.

The spelling of 97330433760 in words is "ninety-seven billion, three hundred thirty million, four hundred thirty-three thousand, seven hundred sixty".