66393828900 has 405 divisors, whose sum is σ = 250974567459. Its totient is φ = 15138627840.

The previous prime is 66393828889. The next prime is 66393828923. The reversal of 66393828900 is 982839366.

The square root of 66393828900 is 257670.

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 7624433124 + 58769395776 = 87318^2 + 242424^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 162331896 + ... + 162332304.

Almost surely, 2^66393828900 is an apocalyptic number.

66393828900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66393828900 is the 257670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66393828900

66393828900 is an abundant number, since it is smaller than the sum of its proper divisors (184580738559).

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

66393828900 is a wasteful number, since it uses less digits than its factorization.

66393828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 66393828900 in words is "sixty-six billion, three hundred ninety-three million, eight hundred twenty-eight thousand, nine hundred".