6465601440 has 240 divisors, whose sum is σ = 23251186728. Its totient is φ = 1691449344.

The previous prime is 6465601403. The next prime is 6465601451. The reversal of 6465601440 is 441065646.

6465601440 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 601 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6462230544 + 3370896 = 80388^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6465601395 and 6465601404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 682174 + ... + 691586.

Almost surely, 2^6465601440 is an apocalyptic number.

6465601440 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 6465601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11625593364).

6465601440 is an abundant number, since it is smaller than the sum of its proper divisors (16785585288).

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

6465601440 is a wasteful number, since it uses less digits than its factorization.

6465601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6465601440 is about 80408.9636794307. The cubic root of 6465601440 is about 1862.9576254296.

The spelling of 6465601440 in words is "six billion, four hundred sixty-five million, six hundred one thousand, four hundred forty".