127247465676672 has 768 divisors, whose sum is σ = 429311974003200. Its totient is φ = 36789645312000.

The previous prime is 127247465676671. The next prime is 127247465676697. The reversal of 127247465676672 is 276676564742721.

127247465676672 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 47 + 465 + 67 + 6 + 67 + 2 = 666.

It is a super-2 number, since 2×127247465676672² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 127247465676672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127247465676671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2593845168 + ... + 2593894224.

It is an arithmetic number, because the mean of its divisors is an integer number (558999966150).

Almost surely, 2^{127247465676672} is an apocalyptic number.

127247465676672 is a gapful number since it is divisible by the number (12) 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 127247465676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214655987001600).

127247465676672 is an abundant number, since it is smaller than the sum of its proper divisors (302064508326528).

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

127247465676672 is a wasteful number, since it uses less digits than its factorization.

127247465676672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49224 (or 49175 counting only the distinct ones).

The product of its digits is 1991485440, while the sum is 72.

The spelling of 127247465676672 in words is "one hundred twenty-seven trillion, two hundred forty-seven billion, four hundred sixty-five million, six hundred seventy-six thousand, six hundred seventy-two".