671027544991440 has 640 divisors, whose sum is σ = 2844808640593920. Its totient is φ = 141573930043392.

The previous prime is 671027544991421. The next prime is 671027544991451. The reversal of 671027544991440 is 44199445720176.

It is a happy number.

671027544991440 is a `hidden beast` number, since 6 + 7 + 10 + 2 + 7 + 54 + 49 + 91 + 440 = 666.

It is a super-3 number, since 3×671027544991440³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6849477337 + ... + 6849575303.

It is an arithmetic number, because the mean of its divisors is an integer number (4445013500928).

Almost surely, 2^{671027544991440} is an apocalyptic number.

671027544991440 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 671027544991440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422404320296960).

671027544991440 is an abundant number, since it is smaller than the sum of its proper divisors (2173781095602480).

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

671027544991440 is a wasteful number, since it uses less digits than its factorization.

671027544991440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132856 (or 132844 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 671027544991440 in words is "six hundred seventy-one trillion, twenty-seven billion, five hundred forty-four million, nine hundred ninety-one thousand, four hundred forty".