66382028820 has 60 divisors (see below), whose sum is σ = 208242888084. Its totient is φ = 17701873920.

The previous prime is 66382028803. The next prime is 66382028837. The reversal of 66382028820 is 2882028366.

66382028820 is a `hidden beast` number, since 6 + 638 + 2 + 0 + 2 + 8 + 8 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66382028803) and next prime (66382028837).

It can be written as a sum of positive squares in 2 ways, for example, as 34761365136 + 31620663684 = 186444^2 + 177822^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 20486661 + ... + 20489900.

Almost surely, 2^66382028820 is an apocalyptic number.

66382028820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66382028820 is an abundant number, since it is smaller than the sum of its proper divisors (141860859264).

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

66382028820 is a wasteful number, since it uses less digits than its factorization.

66382028820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40976582 (or 40976571 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 66382028820 in words is "sixty-six billion, three hundred eighty-two million, twenty-eight thousand, eight hundred twenty".