6403559040 has 192 divisors, whose sum is σ = 22154277600. Its totient is φ = 1704376320.

The previous prime is 6403559033. The next prime is 6403559089. The reversal of 6403559040 is 409553046.

It is a happy number.

6403559040 is a `hidden beast` number, since 64 + 0 + 3 + 5 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 6403558986 and 6403559004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5868895 + ... + 5869985.

Almost surely, 2^6403559040 is an apocalyptic number.

6403559040 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 6403559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077138800).

6403559040 is an abundant number, since it is smaller than the sum of its proper divisors (15750718560).

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

6403559040 is a wasteful number, since it uses less digits than its factorization.

6403559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6403559040 is about 80022.2409083875. The cubic root of 6403559040 is about 1856.9796280094.

The spelling of 6403559040 in words is "six billion, four hundred three million, five hundred fifty-nine thousand, forty".