6450106960 has 80 divisors (see below), whose sum is σ = 16378148160. Its totient is φ = 2342865920.

The previous prime is 6450106931. The next prime is 6450106961. The reversal of 6450106960 is 696010546.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6450106961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893124 + ... + 900316.

It is an arithmetic number, because the mean of its divisors is an integer number (204726852).

Almost surely, 2^6450106960 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 6450106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189074080).

6450106960 is an abundant number, since it is smaller than the sum of its proper divisors (9928041200).

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

6450106960 is a wasteful number, since it uses less digits than its factorization.

6450106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8236 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 6450106960 is about 80312.5579221581. The cubic root of 6450106960 is about 1861.4682744926.

The spelling of 6450106960 in words is "six billion, four hundred fifty million, one hundred six thousand, nine hundred sixty".