128476942663680 has 2048 divisors, whose sum is σ = 534675004416000. Its totient is φ = 28986499399680.

The previous prime is 128476942663679. The next prime is 128476942663703. The reversal of 128476942663680 is 86366249674821.

128476942663680 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 7 + 69 + 426 + 63 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×128476942663680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 128476942663599 and 128476942663608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33872115864 + ... + 33872119656.

It is an arithmetic number, because the mean of its divisors is an integer number (261071779500).

Almost surely, 2^{128476942663680} is an apocalyptic number.

128476942663680 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 128476942663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267337502208000).

128476942663680 is an abundant number, since it is smaller than the sum of its proper divisors (406198061752320).

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

128476942663680 is a wasteful number, since it uses less digits than its factorization.

128476942663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 128476942663680 in words is "one hundred twenty-eight trillion, four hundred seventy-six billion, nine hundred forty-two million, six hundred sixty-three thousand, six hundred eighty".