197064966400 has 243 divisors, whose sum is σ = 506839970973. Its totient is φ = 75857049600.

The previous prime is 197064966367. The next prime is 197064966407. The reversal of 197064966400 is 4669460791.

The square root of 197064966400 is 443920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70943387904 + 126121578496 = 266352^2 + 355136^2 .

It is not an unprimeable number, because it can be changed into a prime (197064966407) 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 26 ways as a sum of consecutive naturals, for example, 1100921511 + ... + 1100921689.

Almost surely, 2^197064966400 is an apocalyptic number.

197064966400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

197064966400 is the 443920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197064966400

197064966400 is an abundant number, since it is smaller than the sum of its proper divisors (309775004573).

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

197064966400 is an frugal number, since it uses more digits than its factorization.

197064966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 197064966400 in words is "one hundred ninety-seven billion, sixty-four million, nine hundred sixty-six thousand, four hundred".