6359645040 has 320 divisors, whose sum is σ = 24486051840. Its totient is φ = 1332495360.

The previous prime is 6359645027. The next prime is 6359645041. The reversal of 6359645040 is 405469536.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6359644983 and 6359645001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6359645041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 986307 + ... + 992733.

It is an arithmetic number, because the mean of its divisors is an integer number (76518912).

Almost surely, 2^6359645040 is an apocalyptic number.

6359645040 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 6359645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12243025920).

6359645040 is an abundant number, since it is smaller than the sum of its proper divisors (18126406800).

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

6359645040 is a wasteful number, since it uses less digits than its factorization.

6359645040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6500 (or 6494 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 6359645040 is about 79747.3826529749. The cubic root of 6359645040 is about 1852.7249873804.

The spelling of 6359645040 in words is "six billion, three hundred fifty-nine million, six hundred forty-five thousand, forty".