6473254256640 has 720 divisors, whose sum is σ = 23548603792896. Its totient is φ = 1642777804800.

The previous prime is 6473254256629. The next prime is 6473254256653. The reversal of 6473254256640 is 466524523746.

6473254256640 is a `hidden beast` number, since 6 + 4 + 7 + 3 + 2 + 542 + 56 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6473254256640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1394194159 + ... + 1394198801.

Almost surely, 2^{6473254256640} is an apocalyptic number.

6473254256640 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 6473254256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11774301896448).

6473254256640 is an abundant number, since it is smaller than the sum of its proper divisors (17075349536256).

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

6473254256640 is a wasteful number, since it uses less digits than its factorization.

6473254256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 6473254256640 in words is "six trillion, four hundred seventy-three billion, two hundred fifty-four million, two hundred fifty-six thousand, six hundred forty".