127322626464 has 768 divisors, whose sum is σ = 438242918400. Its totient is φ = 35582976000.

The previous prime is 127322626463. The next prime is 127322626507. The reversal of 127322626464 is 464626223721.

127322626464 is a `hidden beast` number, since 1 + 2 + 7 + 322 + 6 + 264 + 64 = 666.

It is a super-2 number, since 2×127322626464² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127322626463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1260620014 + ... + 1260620114.

It is an arithmetic number, because the mean of its divisors is an integer number (570628800).

Almost surely, 2^127322626464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127322626464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219121459200).

127322626464 is an abundant number, since it is smaller than the sum of its proper divisors (310920291936).

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

127322626464 is a wasteful number, since it uses less digits than its factorization.

127322626464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 127322626464 in words is "one hundred twenty-seven billion, three hundred twenty-two million, six hundred twenty-six thousand, four hundred sixty-four".