66006420480 has 2112 divisors, whose sum is σ = 324461749248. Its totient is φ = 12421693440.

The previous prime is 66006420463. The next prime is 66006420503. The reversal of 66006420480 is 8402460066.

It is a happy number.

66006420480 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 642 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1245404134 + ... + 1245404186.

Almost surely, 2^66006420480 is an apocalyptic number.

66006420480 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 66006420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162230874624).

66006420480 is an abundant number, since it is smaller than the sum of its proper divisors (258455328768).

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

66006420480 is a wasteful number, since it uses less digits than its factorization.

66006420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 66006420480 in words is "sixty-six billion, six million, four hundred twenty thousand, four hundred eighty".