97320384000 has 480 divisors, whose sum is σ = 400622054976. Its totient is φ = 22243737600.

The previous prime is 97320383977. The next prime is 97320384053. The reversal of 97320384000 is 48302379.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4019932 + ... + 4044068.

Almost surely, 2^97320384000 is an apocalyptic number.

97320384000 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 97320384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200311027488).

97320384000 is an abundant number, since it is smaller than the sum of its proper divisors (303301670976).

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

97320384000 is a wasteful number, since it uses less digits than its factorization.

97320384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24183 (or 24154 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 97320384000 its reverse (48302379), we get a palindrome (97368686379).

The spelling of 97320384000 in words is "ninety-seven billion, three hundred twenty million, three hundred eighty-four thousand".