6465601296 has 240 divisors, whose sum is σ = 23887363968. Its totient is φ = 1580544000.

The previous prime is 6465601291. The next prime is 6465601309. The reversal of 6465601296 is 6921065646.

6465601296 is a `hidden beast` number, since 6 + 465 + 60 + 129 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (6465601291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171346 + ... + 205646.

Almost surely, 2^6465601296 is an apocalyptic number.

6465601296 is a gapful number since it is divisible by the number (66) 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 6465601296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943681984).

6465601296 is an abundant number, since it is smaller than the sum of its proper divisors (17421762672).

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

6465601296 is a wasteful number, since it uses less digits than its factorization.

6465601296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34350 (or 34341 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6465601296 is about 80408.9627840081. The cubic root of 6465601296 is about 1862.9576115992.

The spelling of 6465601296 in words is "six billion, four hundred sixty-five million, six hundred one thousand, two hundred ninety-six".