196768730400 has 576 divisors, whose sum is σ = 763727118336. Its totient is φ = 43444224000.

The previous prime is 196768730381. The next prime is 196768730413. The reversal of 196768730400 is 4037867691.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 13905729 + ... + 13919871.

It is an arithmetic number, because the mean of its divisors is an integer number (1325915136).

Almost surely, 2^196768730400 is an apocalyptic number.

196768730400 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 196768730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381863559168).

196768730400 is an abundant number, since it is smaller than the sum of its proper divisors (566958387936).

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

196768730400 is a wasteful number, since it uses less digits than its factorization.

196768730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14225 (or 14212 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 196768730400 in words is "one hundred ninety-six billion, seven hundred sixty-eight million, seven hundred thirty thousand, four hundred".