66433326400 has 252 divisors, whose sum is σ = 188786646048. Its totient is φ = 22539617280.

The previous prime is 66433326347. The next prime is 66433326413. The reversal of 66433326400 is 462333466.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66433326400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216395047 + ... + 216395353.

Almost surely, 2^66433326400 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 66433326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94393323024).

66433326400 is an abundant number, since it is smaller than the sum of its proper divisors (122353319648).

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

66433326400 is a wasteful number, since it uses less digits than its factorization.

66433326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 37.

Adding to 66433326400 its reverse (462333466), we get a palindrome (66895659866).

The spelling of 66433326400 in words is "sixty-six billion, four hundred thirty-three million, three hundred twenty-six thousand, four hundred".