66375238410000 has 675 divisors, whose sum is σ = 251473366231659. Its totient is φ = 16330699008000.

The previous prime is 66375238409839. The next prime is 66375238410011. The reversal of 66375238410000 is 1483257366.

The square root of 66375238410000 is 8147100.

It is a perfect power (a square), and thus also a powerful number.

66375238410000 is a `hidden beast` number, since 6 + 6 + 37 + 523 + 84 + 10 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 62597781839376 + 3777456570624 = 7911876^2 + 1943568^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 31773688956 + ... + 31773691044.

Almost surely, 2^{66375238410000} is an apocalyptic number.

66375238410000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66375238410000 is the 8147100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66375238410000

66375238410000 is an abundant number, since it is smaller than the sum of its proper divisors (185098127821659).

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

66375238410000 is an equidigital number, since it uses as much as digits as its factorization.

66375238410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 66375238410000 in words is "sixty-six trillion, three hundred seventy-five billion, two hundred thirty-eight million, four hundred ten thousand".