66050424360 has 576 divisors, whose sum is σ = 241910912880. Its totient is φ = 15565455360.

The previous prime is 66050424329. The next prime is 66050424373. The reversal of 66050424360 is 6342405066.

66050424360 is a `hidden beast` number, since 6 + 605 + 0 + 4 + 2 + 43 + 6 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 17088241284 + 48962183076 = 130722^2 + 221274^2 .

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211023564 + ... + 211023876.

Almost surely, 2^66050424360 is an apocalyptic number.

66050424360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66050424360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120955456440).

66050424360 is an abundant number, since it is smaller than the sum of its proper divisors (175860488520).

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

66050424360 is a wasteful number, since it uses less digits than its factorization.

66050424360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 66050424360 in words is "sixty-six billion, fifty million, four hundred twenty-four thousand, three hundred sixty".