6501795840 has 144 divisors (see below), whose sum is σ = 22534375500. Its totient is φ = 1733787648.

The previous prime is 6501795823. The next prime is 6501795847. The reversal of 6501795840 is 485971056.

6501795840 is a `hidden beast` number, since 6 + 50 + 17 + 9 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6091490304 + 410305536 = 78048^2 + 20256^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (6501795847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56886 + ... + 127434.

Almost surely, 2^6501795840 is an apocalyptic number.

6501795840 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 6501795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267187750).

6501795840 is an abundant number, since it is smaller than the sum of its proper divisors (16032579660).

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

6501795840 is a wasteful number, since it uses less digits than its factorization.

6501795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70582 (or 70559 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 6501795840 is about 80633.7140407162. The cubic root of 6501795840 is about 1866.4274341938.

The spelling of 6501795840 in words is "six billion, five hundred one million, seven hundred ninety-five thousand, eight hundred forty".