66050629632 has 840 divisors, whose sum is σ = 232172012160. Its totient is φ = 18632540160.

The previous prime is 66050629571. The next prime is 66050629643. The reversal of 66050629632 is 23692605066.

66050629632 is a `hidden beast` number, since 6 + 6 + 0 + 5 + 0 + 6 + 2 + 9 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2130665457 + ... + 2130665487.

Almost surely, 2^66050629632 is an apocalyptic number.

66050629632 is a gapful number since it is divisible by the number (62) 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 66050629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116086006080).

66050629632 is an abundant number, since it is smaller than the sum of its proper divisors (166121382528).

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

66050629632 is a wasteful number, since it uses less digits than its factorization.

66050629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 66050629632 in words is "sixty-six billion, fifty million, six hundred twenty-nine thousand, six hundred thirty-two".