66908378502144 has 1584 divisors, whose sum is σ = 222916487766336. Its totient is φ = 20015647948800.

The previous prime is 66908378502137. The next prime is 66908378502149. The reversal of 66908378502144 is 44120587380966.

66908378502144 is a `hidden beast` number, since 6 + 6 + 9 + 0 + 83 + 7 + 8 + 502 + 1 + 44 = 666.

It is a super-2 number, since 2×66908378502144² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66908378502149) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136269609739 + ... + 136269610229.

It is a 1-persistent number, because it is pandigital, but 2⋅66908378502144 = 133816757004288 is not.

Almost surely, 2^{66908378502144} is an apocalyptic number.

66908378502144 is a gapful number since it is divisible by the number (64) 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 66908378502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111458243883168).

66908378502144 is an abundant number, since it is smaller than the sum of its proper divisors (156008109264192).

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

66908378502144 is a wasteful number, since it uses less digits than its factorization.

66908378502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 66908378502144 in words is "sixty-six trillion, nine hundred eight billion, three hundred seventy-eight million, five hundred two thousand, one hundred forty-four".