127032645648384 has 2560 divisors, whose sum is σ = 495262944000000. Its totient is φ = 32362142367744.

The previous prime is 127032645648383. The next prime is 127032645648409. The reversal of 127032645648384 is 483846546230721.

127032645648384 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 3 + 2 + 64 + 564 + 8 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×127032645648384² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127032645648383) 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, 6685928718327 + ... + 6685928718345.

It is an arithmetic number, because the mean of its divisors is an integer number (193462087500).

Almost surely, 2^{127032645648384} is an apocalyptic number.

127032645648384 is a gapful number since it is divisible by the number (14) 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 127032645648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247631472000000).

127032645648384 is an abundant number, since it is smaller than the sum of its proper divisors (368230298351616).

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

127032645648384 is an frugal number, since it uses more digits than its factorization.

127032645648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 127032645648384 in words is "one hundred twenty-seven trillion, thirty-two billion, six hundred forty-five million, six hundred forty-eight thousand, three hundred eighty-four".