197142664320 has 768 divisors, whose sum is σ = 817932124800. Its totient is φ = 44743974912.

The previous prime is 197142664223. The next prime is 197142664333. The reversal of 197142664320 is 23466241791.

197142664320 is a `hidden beast` number, since 19 + 7 + 142 + 66 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132934299 + ... + 132935781.

Almost surely, 2^197142664320 is an apocalyptic number.

197142664320 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 197142664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408966062400).

197142664320 is an abundant number, since it is smaller than the sum of its proper divisors (620789460480).

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

197142664320 is a wasteful number, since it uses less digits than its factorization.

197142664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 197142664320 in words is "one hundred ninety-seven billion, one hundred forty-two million, six hundred sixty-four thousand, three hundred twenty".