671428961280 has 792 divisors, whose sum is σ = 2922695071296. Its totient is φ = 139509596160.

The previous prime is 671428961263. The next prime is 671428961293. The reversal of 671428961280 is 82169824176.

It is a happy number.

671428961280 is a `hidden beast` number, since 6 + 7 + 1 + 428 + 96 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39021159 + ... + 39038361.

Almost surely, 2^671428961280 is an apocalyptic number.

671428961280 is a gapful number since it is divisible by the number (60) 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 671428961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461347535648).

671428961280 is an abundant number, since it is smaller than the sum of its proper divisors (2251266110016).

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

671428961280 is a wasteful number, since it uses less digits than its factorization.

671428961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17263 (or 17231 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

It can be divided in two parts, 67142896 and 1280, that added together give a palindrome (67144176).

The spelling of 671428961280 in words is "six hundred seventy-one billion, four hundred twenty-eight million, nine hundred sixty-one thousand, two hundred eighty".