197840016000 has 2048 divisors, whose sum is σ = 879869952000. Its totient is φ = 43130880000.

The previous prime is 197840015987. The next prime is 197840016001. The reversal of 197840016000 is 610048791.

197840016000 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 40 + 0 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (197840016001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2504303961 + ... + 2504304039.

It is an arithmetic number, because the mean of its divisors is an integer number (429624000).

Almost surely, 2^197840016000 is an apocalyptic number.

197840016000 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 197840016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439934976000).

197840016000 is an abundant number, since it is smaller than the sum of its proper divisors (682029936000).

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

197840016000 is a wasteful number, since it uses less digits than its factorization.

197840016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 197840016000 in words is "one hundred ninety-seven billion, eight hundred forty million, sixteen thousand".