66432895200 has 504 divisors, whose sum is σ = 277911618768. Its totient is φ = 15183728640.

The previous prime is 66432895169. The next prime is 66432895219. The reversal of 66432895200 is 259823466.

66432895200 is a `hidden beast` number, since 6 + 6 + 43 + 2 + 89 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 83 ways as a sum of consecutive naturals, for example, 4074264 + ... + 4090536.

It is an arithmetic number, because the mean of its divisors is an integer number (551411942).

Almost surely, 2^66432895200 is an apocalyptic number.

66432895200 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 66432895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138955809384).

66432895200 is an abundant number, since it is smaller than the sum of its proper divisors (211478723568).

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

66432895200 is a wasteful number, since it uses less digits than its factorization.

66432895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16318 (or 16290 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 664328 and 95200, that added together give a triangular number (759528 = T₁₂₃₂).

The spelling of 66432895200 in words is "sixty-six billion, four hundred thirty-two million, eight hundred ninety-five thousand, two hundred".