127527746640 has 320 divisors, whose sum is σ = 455304001536. Its totient is φ = 28925024256.

The previous prime is 127527746627. The next prime is 127527746681. The reversal of 127527746640 is 46647725721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164977294 + ... + 164978066.

Almost surely, 2^127527746640 is an apocalyptic number.

127527746640 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 127527746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227652000768).

127527746640 is an abundant number, since it is smaller than the sum of its proper divisors (327776254896).

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

127527746640 is a wasteful number, since it uses less digits than its factorization.

127527746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 127527746640 in words is "one hundred twenty-seven billion, five hundred twenty-seven million, seven hundred forty-six thousand, six hundred forty".