127613405376 has 84 divisors (see below), whose sum is σ = 367971366672. Its totient is φ = 42283052544.

The previous prime is 127613405371. The next prime is 127613405377. The reversal of 127613405376 is 673504316721.

127613405376 is a `hidden beast` number, since 1 + 2 + 76 + 1 + 3 + 40 + 537 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (127613405371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567135 + ... + 759518.

It is an arithmetic number, because the mean of its divisors is an integer number (4380611508).

Almost surely, 2^127613405376 is an apocalyptic number.

127613405376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127613405376 is an abundant number, since it is smaller than the sum of its proper divisors (240357961296).

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

127613405376 is a wasteful number, since it uses less digits than its factorization.

127613405376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326838 (or 1326825 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 127613405376 in words is "one hundred twenty-seven billion, six hundred thirteen million, four hundred five thousand, three hundred seventy-six".