66006276336 has 1080 divisors, whose sum is σ = 268608172560. Its totient is φ = 14944849920.

The previous prime is 66006276331. The next prime is 66006276337. The reversal of 66006276336 is 63367260066.

66006276336 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 6 + 2 + 7 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66006276291 and 66006276300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66006276331) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 210882516 + ... + 210882828.

Almost surely, 2^66006276336 is an apocalyptic number.

66006276336 is a gapful number since it is divisible by the number (66) 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 66006276336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134304086280).

66006276336 is an abundant number, since it is smaller than the sum of its proper divisors (202601896224).

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

66006276336 is a wasteful number, since it uses less digits than its factorization.

66006276336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 66006276336 in words is "sixty-six billion, six million, two hundred seventy-six thousand, three hundred thirty-six".