97834832089632 has 1536 divisors, whose sum is σ = 343627038720000. Its totient is φ = 26751281356800.

The previous prime is 97834832089523. The next prime is 97834832089639. The reversal of 97834832089632 is 23698023843879.

It is a happy number.

97834832089632 is a `hidden beast` number, since 9 + 7 + 8 + 3 + 483 + 2 + 0 + 89 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (97834832089639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 178857096783 + ... + 178857097329.

It is an arithmetic number, because the mean of its divisors is an integer number (223715520000).

Almost surely, 2^{97834832089632} 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 97834832089632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171813519360000).

97834832089632 is an abundant number, since it is smaller than the sum of its proper divisors (245792206630368).

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

97834832089632 is a wasteful number, since it uses less digits than its factorization.

97834832089632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 97834832089632 in words is "ninety-seven trillion, eight hundred thirty-four billion, eight hundred thirty-two million, eighty-nine thousand, six hundred thirty-two".