66084984900 has 729 divisors, whose sum is σ = 246300322359. Its totient is φ = 14807232000.

The previous prime is 66084984887. The next prime is 66084984967. The reversal of 66084984900 is 948948066.

The square root of 66084984900 is 257070.

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

66084984900 is a `hidden beast` number, since 6 + 60 + 8 + 4 + 98 + 490 + 0 = 666.

66084984900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27816235524 + 38268749376 = 166782^2 + 195624^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1611828880 + ... + 1611828920.

Almost surely, 2^66084984900 is an apocalyptic number.

66084984900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66084984900 is the 257070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66084984900

66084984900 is an abundant number, since it is smaller than the sum of its proper divisors (180215337459).

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

66084984900 is a wasteful number, since it uses less digits than its factorization.

66084984900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 66084984900 in words is "sixty-six billion, eighty-four million, nine hundred eighty-four thousand, nine hundred".