6471858742272 has 1408 divisors, whose sum is σ = 24775226818560. Its totient is φ = 1620283392000.

The previous prime is 6471858742253. The next prime is 6471858742303. The reversal of 6471858742272 is 2722478581746.

6471858742272 is a `hidden beast` number, since 6 + 4 + 7 + 1 + 8 + 587 + 42 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

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, 7104125497 + ... + 7104126407.

Almost surely, 2^{6471858742272} 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 6471858742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387613409280).

6471858742272 is an abundant number, since it is smaller than the sum of its proper divisors (18303368076288).

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

6471858742272 is a wasteful number, since it uses less digits than its factorization.

6471858742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1052 counting only the distinct ones).

The product of its digits is 84295680, while the sum is 63.

The spelling of 6471858742272 in words is "six trillion, four hundred seventy-one billion, eight hundred fifty-eight million, seven hundred forty-two thousand, two hundred seventy-two".