6469585601472 has 448 divisors, whose sum is σ = 22606669747200. Its totient is φ = 1775859240960.

The previous prime is 6469585601471. The next prime is 6469585601581. The reversal of 6469585601472 is 2741065859646.

6469585601472 is a `hidden beast` number, since 6 + 4 + 6 + 9 + 58 + 560 + 14 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6469585601471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31625854 + ... + 31829762.

It is an arithmetic number, because the mean of its divisors is an integer number (50461316400).

Almost surely, 2^{6469585601472} 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 6469585601472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11303334873600).

6469585601472 is an abundant number, since it is smaller than the sum of its proper divisors (16137084145728).

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

6469585601472 is a wasteful number, since it uses less digits than its factorization.

6469585601472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204041 (or 204025 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 6469585601472 in words is "six trillion, four hundred sixty-nine billion, five hundred eighty-five million, six hundred one thousand, four hundred seventy-two".