127999607484672 has 504 divisors, whose sum is σ = 477598289757120. Its totient is φ = 33246647562240.

The previous prime is 127999607484667. The next prime is 127999607484677. The reversal of 127999607484672 is 276484706999721.

127999607484672 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 9 + 9 + 60 + 7 + 484 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (127999607484667) and next prime (127999607484677).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 127999607484591 and 127999607484600.

It is not an unprimeable number, because it can be changed into a prime (127999607484677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9916354 + ... + 18823742.

It is an arithmetic number, because the mean of its divisors is an integer number (947615654280).

Almost surely, 2^{127999607484672} is an apocalyptic number.

127999607484672 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 127999607484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238799144878560).

127999607484672 is an abundant number, since it is smaller than the sum of its proper divisors (349598682272448).

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

127999607484672 is an frugal number, since it uses more digits than its factorization.

127999607484672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8907441 (or 8907412 counting only the distinct ones).

The product of its (nonzero) digits is 4608866304, while the sum is 81.

The spelling of 127999607484672 in words is "one hundred twenty-seven trillion, nine hundred ninety-nine billion, six hundred seven million, four hundred eighty-four thousand, six hundred seventy-two".