97940741760 has 448 divisors, whose sum is σ = 366351914880. Its totient is φ = 24979249152.

The previous prime is 97940741749. The next prime is 97940741779. The reversal of 97940741760 is 6714704979.

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

It is a junction number, because it is equal to n+sod(n) for n = 97940741697 and 97940741706.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10726317 + ... + 10735443.

It is an arithmetic number, because the mean of its divisors is an integer number (817749810).

Almost surely, 2^97940741760 is an apocalyptic number.

97940741760 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 97940741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183175957440).

97940741760 is an abundant number, since it is smaller than the sum of its proper divisors (268411173120).

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

97940741760 is an equidigital number, since it uses as much as digits as its factorization.

97940741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 97940741760 in words is "ninety-seven billion, nine hundred forty million, seven hundred forty-one thousand, seven hundred sixty".