66067275456 has 1134 divisors, whose sum is σ = 260734736340. Its totient is φ = 16507266048.

The previous prime is 66067275413. The next prime is 66067275479. The reversal of 66067275456 is 65457276066.

66067275456 is a `hidden beast` number, since 6 + 60 + 67 + 2 + 75 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1134).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3477225015 + ... + 3477225033.

Almost surely, 2^66067275456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66067275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130367368170).

66067275456 is an abundant number, since it is smaller than the sum of its proper divisors (194667460884).

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

66067275456 is an equidigital number, since it uses as much as digits as its factorization.

66067275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 66067275456 in words is "sixty-six billion, sixty-seven million, two hundred seventy-five thousand, four hundred fifty-six".