97340591272320 has 640 divisors, whose sum is σ = 381208605972480. Its totient is φ = 23474144563200.

The previous prime is 97340591272313. The next prime is 97340591272321. The reversal of 97340591272320 is 2327219504379.

97340591272320 is a `hidden beast` number, since 9 + 7 + 3 + 4 + 0 + 591 + 2 + 7 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97340591272321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 108468979 + ... + 109362701.

It is an arithmetic number, because the mean of its divisors is an integer number (595638446832).

Almost surely, 2^{97340591272320} is an apocalyptic number.

97340591272320 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 97340591272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190604302986240).

97340591272320 is an abundant number, since it is smaller than the sum of its proper divisors (283868014700160).

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

97340591272320 is a wasteful number, since it uses less digits than its factorization.

97340591272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893956 (or 893935 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 97340591272320 in words is "ninety-seven trillion, three hundred forty billion, five hundred ninety-one million, two hundred seventy-two thousand, three hundred twenty".