97491409384320 has 1280 divisors, whose sum is σ = 406695953664000. Its totient is φ = 22246485553152.

The previous prime is 97491409384309. The next prime is 97491409384363. The reversal of 97491409384320 is 2348390419479.

97491409384320 is a `hidden beast` number, since 9 + 7 + 4 + 9 + 140 + 93 + 84 + 320 = 666.

It is a super-2 number, since 2×97491409384320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 11433255897 + ... + 11433264423.

It is an arithmetic number, because the mean of its divisors is an integer number (317731213800).

Almost surely, 2^{97491409384320} is an apocalyptic number.

97491409384320 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 97491409384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203347976832000).

97491409384320 is an abundant number, since it is smaller than the sum of its proper divisors (309204544279680).

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

97491409384320 is an equidigital number, since it uses as much as digits as its factorization.

97491409384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 97491409384320 in words is "ninety-seven trillion, four hundred ninety-one billion, four hundred nine million, three hundred eighty-four thousand, three hundred twenty".