127001364480 has 768 divisors, whose sum is σ = 469998547200. Its totient is φ = 32917487616.

The previous prime is 127001364461. The next prime is 127001364481. The reversal of 127001364480 is 84463100721.

127001364480 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 0 + 1 + 3 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×127001364480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (127001364481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1186928587 + ... + 1186928693.

It is an arithmetic number, because the mean of its divisors is an integer number (611977275).

Almost surely, 2^127001364480 is an apocalyptic number.

127001364480 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 127001364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234999273600).

127001364480 is an abundant number, since it is smaller than the sum of its proper divisors (342997182720).

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

127001364480 is an frugal number, since it uses more digits than its factorization.

127001364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 127001364480 in words is "one hundred twenty-seven billion, one million, three hundred sixty-four thousand, four hundred eighty".