127669270320 has 240 divisors, whose sum is σ = 470945928960. Its totient is φ = 30850896384.

The previous prime is 127669270279. The next prime is 127669270349. The reversal of 127669270320 is 23072966721.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 111759 + ... + 517521.

It is an arithmetic number, because the mean of its divisors is an integer number (1962274704).

Almost surely, 2^127669270320 is an apocalyptic number.

127669270320 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 127669270320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235472964480).

127669270320 is an abundant number, since it is smaller than the sum of its proper divisors (343276658640).

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

127669270320 is a wasteful number, since it uses less digits than its factorization.

127669270320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405824 (or 405815 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 127669270320 in words is "one hundred twenty-seven billion, six hundred sixty-nine million, two hundred seventy thousand, three hundred twenty".