127344672000 has 1728 divisors, whose sum is σ = 582189543936. Its totient is φ = 26011238400.

The previous prime is 127344671999. The next prime is 127344672001. The reversal of 127344672000 is 276443721.

127344672000 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 446 + 7 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (127344671999) and next prime (127344672001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127344672001) 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, 1126943944 + ... + 1126944056.

Almost surely, 2^127344672000 is an apocalyptic number.

127344672000 is a gapful number since it is divisible by the number (10) 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 127344672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291094771968).

127344672000 is an abundant number, since it is smaller than the sum of its proper divisors (454844871936).

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

127344672000 is a wasteful number, since it uses less digits than its factorization.

127344672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 127344672000 in words is "one hundred twenty-seven billion, three hundred forty-four million, six hundred seventy-two thousand".