6490365840 has 640 divisors, whose sum is σ = 26923991040. Its totient is φ = 1405900800.

The previous prime is 6490365823. The next prime is 6490365853. The reversal of 6490365840 is 485630946.

6490365840 is a `hidden beast` number, since 64 + 9 + 0 + 3 + 6 + 584 + 0 = 666.

It is a super-3 number, since 3×6490365840³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28591807 + ... + 28592033.

It is an arithmetic number, because the mean of its divisors is an integer number (42068736).

Almost surely, 2^6490365840 is an apocalyptic number.

6490365840 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 6490365840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461995520).

6490365840 is an abundant number, since it is smaller than the sum of its proper divisors (20433625200).

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

6490365840 is a wasteful number, since it uses less digits than its factorization.

6490365840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6490365840 is about 80562.8068031396. The cubic root of 6490365840 is about 1865.3330812159. Note that the first 3 decimals are identical.

The spelling of 6490365840 in words is "six billion, four hundred ninety million, three hundred sixty-five thousand, eight hundred forty".