66770127600 has 240 divisors, whose sum is σ = 233549754240. Its totient is φ = 16171545600.

The previous prime is 66770127569. The next prime is 66770127647. The reversal of 66770127600 is 672107766.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21474846 + ... + 21477954.

It is an arithmetic number, because the mean of its divisors is an integer number (973123976).

Almost surely, 2^66770127600 is an apocalyptic number.

66770127600 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 66770127600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116774877120).

66770127600 is an abundant number, since it is smaller than the sum of its proper divisors (166779626640).

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

66770127600 is a wasteful number, since it uses less digits than its factorization.

66770127600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 66770127600 in words is "sixty-six billion, seven hundred seventy million, one hundred twenty-seven thousand, six hundred".