6460441000 has 128 divisors (see below), whose sum is σ = 16558214400. Its totient is φ = 2344684800.

The previous prime is 6460440991. The next prime is 6460441003. The reversal of 6460441000 is 1440646.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6460441003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762789 + ... + 771211.

It is an arithmetic number, because the mean of its divisors is an integer number (129361050).

Almost surely, 2^6460441000 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 6460441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279107200).

6460441000 is an abundant number, since it is smaller than the sum of its proper divisors (10097773400).

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

6460441000 is a wasteful number, since it uses less digits than its factorization.

6460441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 6460441000 is about 80376.8685630387. The cubic root of 6460441000 is about 1862.4618612973.

Adding to 6460441000 its reverse (1440646), we get a palindrome (6461881646).

The spelling of 6460441000 in words is "six billion, four hundred sixty million, four hundred forty-one thousand".