97801240320 has 1728 divisors, whose sum is σ = 440232468480. Its totient is φ = 20692869120.

The previous prime is 97801240217. The next prime is 97801240367. The reversal of 97801240320 is 2304210879.

97801240320 is a `hidden beast` number, since 97 + 8 + 0 + 1 + 240 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 3154878705 + ... + 3154878735.

It is an arithmetic number, because the mean of its divisors is an integer number (254764160).

Almost surely, 2^97801240320 is an apocalyptic number.

97801240320 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 97801240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220116234240).

97801240320 is an abundant number, since it is smaller than the sum of its proper divisors (342431228160).

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

97801240320 is an equidigital number, since it uses as much as digits as its factorization.

97801240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 97801240320 in words is "ninety-seven billion, eight hundred one million, two hundred forty thousand, three hundred twenty".