197768458240 has 208 divisors, whose sum is σ = 504259191072. Its totient is φ = 74194092032.

The previous prime is 197768458231. The next prime is 197768458243. The reversal of 197768458240 is 42854867791.

197768458240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×197768458240² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (197768458243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120810702 + ... + 120812338.

It is an arithmetic number, because the mean of its divisors is an integer number (2424323034).

Almost surely, 2^197768458240 is an apocalyptic number.

197768458240 is a gapful number since it is divisible by the number (10) 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 197768458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252129595536).

197768458240 is an abundant number, since it is smaller than the sum of its proper divisors (306490732832).

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

197768458240 is a wasteful number, since it uses less digits than its factorization.

197768458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 197768458240 in words is "one hundred ninety-seven billion, seven hundred sixty-eight million, four hundred fifty-eight thousand, two hundred forty".