196797662400 has 336 divisors, whose sum is σ = 658294116480. Its totient is φ = 51457228800.

The previous prime is 196797662353. The next prime is 196797662431. The reversal of 196797662400 is 4266797691.

It is a super-2 number, since 2×196797662400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161706592 + ... + 161707808.

It is an arithmetic number, because the mean of its divisors is an integer number (1959208680).

Almost surely, 2^196797662400 is an apocalyptic number.

196797662400 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 196797662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329147058240).

196797662400 is an abundant number, since it is smaller than the sum of its proper divisors (461496454080).

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

196797662400 is a wasteful number, since it uses less digits than its factorization.

196797662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 196797662400 in words is "one hundred ninety-six billion, seven hundred ninety-seven million, six hundred sixty-two thousand, four hundred".