66433129920 has 336 divisors, whose sum is σ = 230952129408. Its totient is φ = 17526896640.

The previous prime is 66433129871. The next prime is 66433129957. The reversal of 66433129920 is 2992133466.

66433129920 is a `hidden beast` number, since 6 + 6 + 4 + 331 + 299 + 20 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200704155 + ... + 200704485.

It is an arithmetic number, because the mean of its divisors is an integer number (687357528).

Almost surely, 2^66433129920 is an apocalyptic number.

66433129920 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 66433129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115476064704).

66433129920 is an abundant number, since it is smaller than the sum of its proper divisors (164518999488).

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

66433129920 is a wasteful number, since it uses less digits than its factorization.

66433129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 66433129920 in words is "sixty-six billion, four hundred thirty-three million, one hundred twenty-nine thousand, nine hundred twenty".