66028196034000 has 800 divisors, whose sum is σ = 246854752784640. Its totient is φ = 16991275392000.

The previous prime is 66028196033983. The next prime is 66028196034037. The reversal of 66028196034000 is 43069182066.

66028196034000 is a `hidden beast` number, since 6 + 6 + 0 + 28 + 19 + 603 + 4 + 0 + 0 + 0 = 666.

66028196034000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16494675999 + ... + 16494680001.

Almost surely, 2^{66028196034000} is an apocalyptic number.

66028196034000 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 66028196034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123427376392320).

66028196034000 is an abundant number, since it is smaller than the sum of its proper divisors (180826556750640).

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

66028196034000 is a wasteful number, since it uses less digits than its factorization.

66028196034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 66028196034000 in words is "sixty-six trillion, twenty-eight billion, one hundred ninety-six million, thirty-four thousand".