6450589440 has 144 divisors (see below), whose sum is σ = 22890756000. Its totient is φ = 1720147968.

The previous prime is 6450589427. The next prime is 6450589441. The reversal of 6450589440 is 449850546.

6450589440 is a `hidden beast` number, since 64 + 5 + 0 + 589 + 4 + 4 + 0 = 666.

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

It is a super-2 number, since 2×6450589440² = 83220208246879027200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6450589441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58765 + ... + 127884.

Almost surely, 2^6450589440 is an apocalyptic number.

6450589440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6450589440 is an abundant number, since it is smaller than the sum of its proper divisors (16440166560).

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

6450589440 is a wasteful number, since it uses less digits than its factorization.

6450589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186679 (or 186659 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6450589440 is about 80315.5616303590. The cubic root of 6450589440 is about 1861.5146870986.

The spelling of 6450589440 in words is "six billion, four hundred fifty million, five hundred eighty-nine thousand, four hundred forty".