6469412639040 has 756 divisors, whose sum is σ = 25022300960124. Its totient is φ = 1592383463424.

The previous prime is 6469412639029. The next prime is 6469412639047. The reversal of 6469412639040 is 409362149646.

6469412639040 is a `hidden beast` number, since 6 + 4 + 6 + 94 + 126 + 390 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 948566915136 + 5520845723904 = 973944^2 + 2349648^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6469412639047) 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 107 ways as a sum of consecutive naturals, for example, 354809764 + ... + 354827996.

Almost surely, 2^{6469412639040} is an apocalyptic number.

6469412639040 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 6469412639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511150480062).

6469412639040 is an abundant number, since it is smaller than the sum of its proper divisors (18552888321084).

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

6469412639040 is an equidigital number, since it uses as much as digits as its factorization.

6469412639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18300 (or 18256 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 6469412639040 in words is "six trillion, four hundred sixty-nine billion, four hundred twelve million, six hundred thirty-nine thousand, forty".