6464115433440 has 2688 divisors, whose sum is σ = 29547187568640. Its totient is φ = 1300264648704.

The previous prime is 6464115433439. The next prime is 6464115433441. The reversal of 6464115433440 is 443345114646.

6464115433440 is a `hidden beast` number, since 6 + 4 + 64 + 1 + 1 + 543 + 3 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6464115433439) and next prime (6464115433441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6464115433441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 33492825984 + ... + 33492826176.

It is an arithmetic number, because the mean of its divisors is an integer number (10992257280).

Almost surely, 2^{6464115433440} is an apocalyptic number.

6464115433440 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 6464115433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773593784320).

6464115433440 is an abundant number, since it is smaller than the sum of its proper divisors (23083072135200).

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

6464115433440 is a wasteful number, since it uses less digits than its factorization.

6464115433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 6464115433440 in words is "six trillion, four hundred sixty-four billion, one hundred fifteen million, four hundred thirty-three thousand, four hundred forty".