196461424800 has 432 divisors, whose sum is σ = 737096697792. Its totient is φ = 49067827200.

The previous prime is 196461424793. The next prime is 196461424807. The reversal of 196461424800 is 8424164691.

196461424800 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 614 + 24 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (196461424793) and next prime (196461424807).

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

It is not an unprimeable number, because it can be changed into a prime (196461424807) 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 71 ways as a sum of consecutive naturals, for example, 25822597 + ... + 25830203.

It is an arithmetic number, because the mean of its divisors is an integer number (1706242356).

Almost surely, 2^196461424800 is an apocalyptic number.

196461424800 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 196461424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368548348896).

196461424800 is an abundant number, since it is smaller than the sum of its proper divisors (540635272992).

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

196461424800 is a wasteful number, since it uses less digits than its factorization.

196461424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 196461424800 in words is "one hundred ninety-six billion, four hundred sixty-one million, four hundred twenty-four thousand, eight hundred".