66943936510080 has 1536 divisors, whose sum is σ = 265755154176000. Its totient is φ = 14324533493760.

The previous prime is 66943936510069. The next prime is 66943936510081. The reversal of 66943936510080 is 8001563934966.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 66943936509996 and 66943936510023.

It is not an unprimeable number, because it can be changed into a prime (66943936510081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40158329407 + ... + 40158331073.

It is an arithmetic number, because the mean of its divisors is an integer number (173017678500).

Almost surely, 2^{66943936510080} is an apocalyptic number.

66943936510080 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 66943936510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132877577088000).

66943936510080 is an abundant number, since it is smaller than the sum of its proper divisors (198811217665920).

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

66943936510080 is a wasteful number, since it uses less digits than its factorization.

66943936510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 66943936510080 in words is "sixty-six trillion, nine hundred forty-three billion, nine hundred thirty-six million, five hundred ten thousand, eighty".