66435133400 has 96 divisors (see below), whose sum is σ = 155915020800. Its totient is φ = 26324880000.

The previous prime is 66435133393. The next prime is 66435133409. The reversal of 66435133400 is 433153466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66435133409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13981025 + ... + 13985775.

It is an arithmetic number, because the mean of its divisors is an integer number (1624114800).

Almost surely, 2^66435133400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66435133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77957510400).

66435133400 is an abundant number, since it is smaller than the sum of its proper divisors (89479887400).

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

66435133400 is a wasteful number, since it uses less digits than its factorization.

66435133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 66435133400 its reverse (433153466), we get a palindrome (66868286866).

The spelling of 66435133400 in words is "sixty-six billion, four hundred thirty-five million, one hundred thirty-three thousand, four hundred".