97834586760 has 192 divisors, whose sum is σ = 330409497600. Its totient is φ = 25076040192.

The previous prime is 97834586749. The next prime is 97834586809. The reversal of 97834586760 is 6768543879.

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 47 ways as a sum of consecutive naturals, for example, 2307109 + ... + 2349131.

It is an arithmetic number, because the mean of its divisors is an integer number (1720882800).

Almost surely, 2^97834586760 is an apocalyptic number.

97834586760 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 97834586760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165204748800).

97834586760 is an abundant number, since it is smaller than the sum of its proper divisors (232574910840).

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

97834586760 is a wasteful number, since it uses less digits than its factorization.

97834586760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42292 (or 42285 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 97834586760 in words is "ninety-seven billion, eight hundred thirty-four million, five hundred eighty-six thousand, seven hundred sixty".