607829028066 has 192 divisors, whose sum is σ = 1459501085952. Its totient is φ = 181679210496.

The previous prime is 607829028043. The next prime is 607829028073. The reversal of 607829028066 is 660820928706.

607829028066 is a `hidden beast` number, since 6 + 0 + 78 + 290 + 280 + 6 + 6 = 666.

It is a super-2 number, since 2×607829028066² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818073691 + ... + 818074433.

It is an arithmetic number, because the mean of its divisors is an integer number (7601568156).

Almost surely, 2^607829028066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 607829028066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729750542976).

607829028066 is an abundant number, since it is smaller than the sum of its proper divisors (851672057886).

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

607829028066 is a wasteful number, since it uses less digits than its factorization.

607829028066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 607829028066 in words is "six hundred seven billion, eight hundred twenty-nine million, twenty-eight thousand, sixty-six".