127436143968 has 864 divisors, whose sum is σ = 476838835200. Its totient is φ = 33249678336.

The previous prime is 127436143927. The next prime is 127436144009. The reversal of 127436143968 is 869341634721.

127436143968 is a `hidden beast` number, since 1 + 2 + 7 + 436 + 143 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (127436143927) and next prime (127436144009).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 209943921 + ... + 209944527.

It is an arithmetic number, because the mean of its divisors is an integer number (551896800).

Almost surely, 2^127436143968 is an apocalyptic number.

127436143968 is a gapful number since it is divisible by the number (18) 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 127436143968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238419417600).

127436143968 is an abundant number, since it is smaller than the sum of its proper divisors (349402691232).

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

127436143968 is a wasteful number, since it uses less digits than its factorization.

127436143968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 667 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 127436143968 in words is "one hundred twenty-seven billion, four hundred thirty-six million, one hundred forty-three thousand, nine hundred sixty-eight".