6417431020 has 432 divisors, whose sum is σ = 19470919104. Its totient is φ = 1756339200.

The previous prime is 6417430973. The next prime is 6417431039. The reversal of 6417431020 is 201347146.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 6417431020.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35455330 + ... + 35455510.

It is an arithmetic number, because the mean of its divisors is an integer number (45071572).

Almost surely, 2^6417431020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6417431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9735459552).

6417431020 is an abundant number, since it is smaller than the sum of its proper divisors (13053488084).

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

6417431020 is a wasteful number, since it uses less digits than its factorization.

6417431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 6417431020 is about 80108.8697960469. The cubic root of 6417431020 is about 1858.3195810592.

Adding to 6417431020 its reverse (201347146), we get a palindrome (6618778166).

The spelling of 6417431020 in words is "six billion, four hundred seventeen million, four hundred thirty-one thousand, twenty".