66703029120 has 1024 divisors, whose sum is σ = 293642496000. Its totient is φ = 14017536000.

The previous prime is 66703029103. The next prime is 66703029121. The reversal of 66703029120 is 2192030766.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66703029121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 265748995 + ... + 265749245.

It is an arithmetic number, because the mean of its divisors is an integer number (286760250).

Almost surely, 2^66703029120 is an apocalyptic number.

66703029120 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 66703029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146821248000).

66703029120 is an abundant number, since it is smaller than the sum of its proper divisors (226939466880).

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

66703029120 is a wasteful number, since it uses less digits than its factorization.

66703029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 66703029120 its reverse (2192030766), we get a palindrome (68895059886).

The spelling of 66703029120 in words is "sixty-six billion, seven hundred three million, twenty-nine thousand, one hundred twenty".