197964668160 has 432 divisors, whose sum is σ = 828837225216. Its totient is φ = 42587062272.

The previous prime is 197964668081. The next prime is 197964668233. The reversal of 197964668160 is 61866469791.

197964668160 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 6 + 466 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 1298677 + ... + 1443083.

It is an arithmetic number, because the mean of its divisors is an integer number (1918604688).

Almost surely, 2^197964668160 is an apocalyptic number.

197964668160 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 197964668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414418612608).

197964668160 is an abundant number, since it is smaller than the sum of its proper divisors (630872557056).

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

197964668160 is a wasteful number, since it uses less digits than its factorization.

197964668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144458 (or 144441 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 197964668160 in words is "one hundred ninety-seven billion, nine hundred sixty-four million, six hundred sixty-eight thousand, one hundred sixty".