70666397872128 has 624 divisors, whose sum is σ = 217175997074400. Its totient is φ = 22945946664960.

The previous prime is 70666397872073. The next prime is 70666397872129. The reversal of 70666397872128 is 82127879366607.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70666397872129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50153581888 + ... + 50153583296.

It is an arithmetic number, because the mean of its divisors is an integer number (348038456850).

Almost surely, 2^{70666397872128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70666397872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108587998537200).

70666397872128 is an abundant number, since it is smaller than the sum of its proper divisors (146509599202272).

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

70666397872128 is a wasteful number, since it uses less digits than its factorization.

70666397872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 70666397872128 in words is "seventy trillion, six hundred sixty-six billion, three hundred ninety-seven million, eight hundred seventy-two thousand, one hundred twenty-eight".