6465621610944 has 140 divisors (see below), whose sum is σ = 19196038171728. Its totient is φ = 2151843840000.

The previous prime is 6465621610937. The next prime is 6465621611021. The reversal of 6465621610944 is 4490161265646.

6465621610944 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 621 + 6 + 1 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×6465621610944² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2350069 + ... + 4295819.

Almost surely, 2^{6465621610944} is an apocalyptic number.

6465621610944 is a gapful number since it is divisible by the number (64) 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 6465621610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9598019085864).

6465621610944 is an abundant number, since it is smaller than the sum of its proper divisors (12730416560784).

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

6465621610944 is a wasteful number, since it uses less digits than its factorization.

6465621610944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946416 (or 1946397 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 6465621610944 in words is "six trillion, four hundred sixty-five billion, six hundred twenty-one million, six hundred ten thousand, nine hundred forty-four".