197408761200 has 1200 divisors, whose sum is σ = 867437655040. Its totient is φ = 41990400000.

The previous prime is 197408761117. The next prime is 197408761211. The reversal of 197408761200 is 2167804791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 262860825 + ... + 262861575.

Almost surely, 2^197408761200 is an apocalyptic number.

197408761200 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 197408761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433718827520).

197408761200 is an abundant number, since it is smaller than the sum of its proper divisors (670028893840).

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

197408761200 is a wasteful number, since it uses less digits than its factorization.

197408761200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 197408761200 in words is "one hundred ninety-seven billion, four hundred eight million, seven hundred sixty-one thousand, two hundred".