6465434440 has 16 divisors (see below), whose sum is σ = 14547227580. Its totient is φ = 2586173760.

The previous prime is 6465434419. The next prime is 6465434461. The reversal of 6465434440 is 444345646.

It is an interprime number because it is at equal distance from previous prime (6465434419) and next prime (6465434461).

It can be written as a sum of positive squares in 2 ways, for example, as 6069344836 + 396089604 = 77906^2 + 19902^2 .

It is a super-2 number, since 2×6465434440² = 83603684995876227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 161635861 = 6465434440 / (6 + 4 + 6 + 5 + 4 + 3 + 4 + 4 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 6465434393 and 6465434402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80817891 + ... + 80817970.

Almost surely, 2^6465434440 is an apocalyptic number.

It is an amenable number.

6465434440 is an abundant number, since it is smaller than the sum of its proper divisors (8081793140).

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

6465434440 is a wasteful number, since it uses less digits than its factorization.

6465434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161635872 (or 161635868 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The square root of 6465434440 is about 80407.9252312855. The cubic root of 6465434440 is about 1862.9415858493.

The spelling of 6465434440 in words is "six billion, four hundred sixty-five million, four hundred thirty-four thousand, four hundred forty".