66812419365120 has 4032 divisors, whose sum is σ = 301628156739840. Its totient is φ = 13970105303040.

The previous prime is 66812419365073. The next prime is 66812419365127. The reversal of 66812419365120 is 2156391421866.

66812419365120 is a `hidden beast` number, since 6 + 6 + 81 + 2 + 4 + 19 + 36 + 512 + 0 = 666.

It is a super-2 number, since 2×66812419365120² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66812419365127) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 915238621404 + ... + 915238621476.

It is an arithmetic number, because the mean of its divisors is an integer number (74808570620).

Almost surely, 2^{66812419365120} is an apocalyptic number.

66812419365120 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 66812419365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150814078369920).

66812419365120 is an abundant number, since it is smaller than the sum of its proper divisors (234815737374720).

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

66812419365120 is an equidigital number, since it uses as much as digits as its factorization.

66812419365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 66812419365120 in words is "sixty-six trillion, eight hundred twelve billion, four hundred nineteen million, three hundred sixty-five thousand, one hundred twenty".