195700064400 has 405 divisors, whose sum is σ = 695449192737. Its totient is φ = 50962176000.

The previous prime is 195700064387. The next prime is 195700064459. The reversal of 195700064400 is 4460007591.

The square root of 195700064400 is 442380.

It is a perfect power (a square), and thus also a powerful number.

195700064400 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 0 + 0 + 0 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 14264958096 + 181435106304 = 119436^2 + 425952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1937624350 + ... + 1937624450.

Almost surely, 2^195700064400 is an apocalyptic number.

195700064400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195700064400 is the 442380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195700064400

195700064400 is an abundant number, since it is smaller than the sum of its proper divisors (499749128337).

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

195700064400 is a wasteful number, since it uses less digits than its factorization.

195700064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 195700064400 by its sum of digits (36), we get a square (7045202318400 = 2654280²).

195700064400 divided by its sum of digits (36) gives a square (5436112900 = 73730²).

The spelling of 195700064400 in words is "one hundred ninety-five billion, seven hundred million, sixty-four thousand, four hundred".