97720285680 has 400 divisors, whose sum is σ = 352052895744. Its totient is φ = 25095329280.

The previous prime is 97720285673. The next prime is 97720285687. The reversal of 97720285680 is 8658202779.

It is a happy number.

97720285680 is a `hidden beast` number, since 9 + 7 + 72 + 0 + 2 + 8 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97720285673) and next prime (97720285687).

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 (97720285687) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 45598689 + ... + 45600831.

Almost surely, 2^97720285680 is an apocalyptic number.

97720285680 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 97720285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176026447872).

97720285680 is an abundant number, since it is smaller than the sum of its proper divisors (254332610064).

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

97720285680 is a wasteful number, since it uses less digits than its factorization.

97720285680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 97720285680 in words is "ninety-seven billion, seven hundred twenty million, two hundred eighty-five thousand, six hundred eighty".