66067275456000 has 6480 divisors, whose sum is σ = 327638859078960. Its totient is φ = 13205812838400.

The previous prime is 66067275455977. The next prime is 66067275456029. The reversal of 66067275456000 is 65457276066.

66067275456000 is a `hidden beast` number, since 6 + 6 + 0 + 6 + 7 + 2 + 75 + 4 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 3477225023991 + ... + 3477225024009.

It is an arithmetic number, because the mean of its divisors is an integer number (50561552327).

Almost surely, 2^{66067275456000} is an apocalyptic number.

66067275456000 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 66067275456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163819429539480).

66067275456000 is an abundant number, since it is smaller than the sum of its proper divisors (261571583622960).

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

66067275456000 is an frugal number, since it uses more digits than its factorization.

66067275456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 49 counting only the distinct ones).

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

The spelling of 66067275456000 in words is "sixty-six trillion, sixty-seven billion, two hundred seventy-five million, four hundred fifty-six thousand".