6672437856 has 336 divisors, whose sum is σ = 23301885600. Its totient is φ = 1839366144.

The previous prime is 6672437833. The next prime is 6672437869. The reversal of 6672437856 is 6587342766.

6672437856 is a `hidden beast` number, since 66 + 72 + 437 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4734880 + ... + 4736288.

It is an arithmetic number, because the mean of its divisors is an integer number (69350850).

Almost surely, 2^6672437856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6672437856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650942800).

6672437856 is an abundant number, since it is smaller than the sum of its proper divisors (16629447744).

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

6672437856 is a wasteful number, since it uses less digits than its factorization.

6672437856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1450 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 6672437856 is about 81684.9916202481. The cubic root of 6672437856 is about 1882.6149908329.

The spelling of 6672437856 in words is "six billion, six hundred seventy-two million, four hundred thirty-seven thousand, eight hundred fifty-six".