197995459764960 has 6048 divisors, whose sum is σ = 933978543533280. Its totient is φ = 39351924817920.

The previous prime is 197995459764959. The next prime is 197995459764967. The reversal of 197995459764960 is 69467954599791.

197995459764960 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 9 + 5 + 4 + 597 + 6 + 4 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197995459764967) by changing a digit.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 770410349152 + ... + 770410349408.

It is an arithmetic number, because the mean of its divisors is an integer number (154427669235).

Almost surely, 2^{197995459764960} is an apocalyptic number.

197995459764960 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 197995459764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466989271766640).

197995459764960 is an abundant number, since it is smaller than the sum of its proper divisors (735983083768320).

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

197995459764960 is a wasteful number, since it uses less digits than its factorization.

197995459764960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 41664974400, while the sum is 90.

The spelling of 197995459764960 in words is "one hundred ninety-seven trillion, nine hundred ninety-five billion, four hundred fifty-nine million, seven hundred sixty-four thousand, nine hundred sixty".