66682878514560 has 2048 divisors, whose sum is σ = 301023063244800. Its totient is φ = 13719372226560.

The previous prime is 66682878514541. The next prime is 66682878514583. The reversal of 66682878514560 is 6541587828666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11100859077 + ... + 11100865083.

It is an arithmetic number, because the mean of its divisors is an integer number (146983917600).

Almost surely, 2^{66682878514560} is an apocalyptic number.

66682878514560 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 66682878514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150511531622400).

66682878514560 is an abundant number, since it is smaller than the sum of its proper divisors (234340184730240).

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

66682878514560 is a wasteful number, since it uses less digits than its factorization.

66682878514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 66682878514560 in words is "sixty-six trillion, six hundred eighty-two billion, eight hundred seventy-eight million, five hundred fourteen thousand, five hundred sixty".