66424134000 has 640 divisors, whose sum is σ = 267589730304. Its totient is φ = 13824000000.

The previous prime is 66424133999. The next prime is 66424134001. The reversal of 66424134000 is 43142466.

It is an interprime number because it is at equal distance from previous prime (66424133999) and next prime (66424134001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66424134001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22132500 + ... + 22135500.

Almost surely, 2^66424134000 is an apocalyptic number.

66424134000 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 66424134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133794865152).

66424134000 is an abundant number, since it is smaller than the sum of its proper divisors (201165596304).

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

66424134000 is a wasteful number, since it uses less digits than its factorization.

66424134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 66424134000 its reverse (43142466), we get a palindrome (66467276466).

The spelling of 66424134000 in words is "sixty-six billion, four hundred twenty-four million, one hundred thirty-four thousand".