127637664000 has 1152 divisors, whose sum is σ = 546589016064. Its totient is φ = 25620480000.

The previous prime is 127637663911. The next prime is 127637664001. The reversal of 127637664000 is 466736721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (127637664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229151722 + ... + 229152278.

It is an arithmetic number, because the mean of its divisors is an integer number (474469632).

Almost surely, 2^127637664000 is an apocalyptic number.

127637664000 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 127637664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273294508032).

127637664000 is an abundant number, since it is smaller than the sum of its proper divisors (418951352064).

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

127637664000 is a wasteful number, since it uses less digits than its factorization.

127637664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 127637664000 in words is "one hundred twenty-seven billion, six hundred thirty-seven million, six hundred sixty-four thousand".