97732085760 has 960 divisors, whose sum is σ = 376734758400. Its totient is φ = 24174526464.

The previous prime is 97732085741. The next prime is 97732085761. The reversal of 97732085760 is 6758023779.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97732085697 and 97732085706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97732085761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 896624586 + ... + 896624694.

It is an arithmetic number, because the mean of its divisors is an integer number (392432040).

Almost surely, 2^97732085760 is an apocalyptic number.

97732085760 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 97732085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188367379200).

97732085760 is an abundant number, since it is smaller than the sum of its proper divisors (279002672640).

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

97732085760 is a wasteful number, since it uses less digits than its factorization.

97732085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 97732085760 in words is "ninety-seven billion, seven hundred thirty-two million, eighty-five thousand, seven hundred sixty".