6671355840 has 168 divisors, whose sum is σ = 23162209200. Its totient is φ = 1762320384.

The previous prime is 6671355833. The next prime is 6671355841. The reversal of 6671355840 is 485531766.

6671355840 is a `hidden beast` number, since 6 + 67 + 1 + 3 + 5 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6671355841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297336 + ... + 318984.

Almost surely, 2^6671355840 is an apocalyptic number.

6671355840 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 6671355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581104600).

6671355840 is an abundant number, since it is smaller than the sum of its proper divisors (16490853360).

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

6671355840 is a wasteful number, since it uses less digits than its factorization.

6671355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21779 (or 21766 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 6671355840 is about 81678.3682501065. The cubic root of 6671355840 is about 1882.5132224486.

The spelling of 6671355840 in words is "six billion, six hundred seventy-one million, three hundred fifty-five thousand, eight hundred forty".