6435006240 has 288 divisors, whose sum is σ = 22910428800. Its totient is φ = 1514692608.

The previous prime is 6435006239. The next prime is 6435006247. The reversal of 6435006240 is 426005346.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6435006198 and 6435006207.

It is not an unprimeable number, because it can be changed into a prime (6435006247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1864036 + ... + 1867484.

It is an arithmetic number, because the mean of its divisors is an integer number (79550100).

Almost surely, 2^6435006240 is an apocalyptic number.

6435006240 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 6435006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11455214400).

6435006240 is an abundant number, since it is smaller than the sum of its proper divisors (16475422560).

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

6435006240 is a wasteful number, since it uses less digits than its factorization.

6435006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 6435006240 is about 80218.4906365110. The cubic root of 6435006240 is about 1860.0144755493.

The spelling of 6435006240 in words is "six billion, four hundred thirty-five million, six thousand, two hundred forty".