127267675448742 has 96 divisors (see below), whose sum is σ = 295119030847680. Its totient is φ = 39496770201600.

The previous prime is 127267675448723. The next prime is 127267675448779. The reversal of 127267675448742 is 247844576762721.

127267675448742 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 6 + 7 + 6 + 7 + 544 + 8 + 74 + 2 = 666.

It is a super-2 number, since 2×127267675448742² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33069183 + ... + 36716565.

It is an arithmetic number, because the mean of its divisors is an integer number (3074156571330).

Almost surely, 2^{127267675448742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127267675448742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147559515423840).

127267675448742 is an abundant number, since it is smaller than the sum of its proper divisors (167851355398938).

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

127267675448742 is a wasteful number, since it uses less digits than its factorization.

127267675448742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648638 (or 3648635 counting only the distinct ones).

The product of its digits is 1770209280, while the sum is 72.

The spelling of 127267675448742 in words is "one hundred twenty-seven trillion, two hundred sixty-seven billion, six hundred seventy-five million, four hundred forty-eight thousand, seven hundred forty-two".