66435264000 has 480 divisors, whose sum is σ = 273487870656. Its totient is φ = 15184281600.

The previous prime is 66435263971. The next prime is 66435264001. The reversal of 66435264000 is 46253466.

66435264000 is a `hidden beast` number, since 6 + 6 + 4 + 3 + 5 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (66435264001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4023762 + ... + 4040238.

Almost surely, 2^66435264000 is an apocalyptic number.

66435264000 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 66435264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136743935328).

66435264000 is an abundant number, since it is smaller than the sum of its proper divisors (207052606656).

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

66435264000 is a wasteful number, since it uses less digits than its factorization.

66435264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16523 (or 16494 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 66435264000 in words is "sixty-six billion, four hundred thirty-five million, two hundred sixty-four thousand".