66378369600 has 567 divisors, whose sum is σ = 251217997563. Its totient is φ = 16620871680.

The previous prime is 66378369583. The next prime is 66378369623. The reversal of 66378369600 is 696387366.

It is a happy number.

The square root of 66378369600 is 257640.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33770677824 + 32607691776 = 183768^2 + 180576^2 .

It is a super-4 number, since 4×66378369600⁴ (a number of 44 digits) contains 4444 as substring.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 587419144 + ... + 587419256.

Almost surely, 2^66378369600 is an apocalyptic number.

66378369600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66378369600 is the 257640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66378369600

66378369600 is an abundant number, since it is smaller than the sum of its proper divisors (184839627963).

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

66378369600 is a wasteful number, since it uses less digits than its factorization.

66378369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 66378369600 in words is "sixty-six billion, three hundred seventy-eight million, three hundred sixty-nine thousand, six hundred".