6456326016 has 128 divisors (see below), whose sum is σ = 19969804800. Its totient is φ = 1809819648.

The previous prime is 6456325973. The next prime is 6456326017. The reversal of 6456326016 is 6106236546.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456326017) 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, 119805 + ... + 165123.

It is an arithmetic number, because the mean of its divisors is an integer number (156014100).

Almost surely, 2^6456326016 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 6456326016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9984902400).

6456326016 is an abundant number, since it is smaller than the sum of its proper divisors (13513478784).

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

6456326016 is a wasteful number, since it uses less digits than its factorization.

6456326016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45396 (or 45384 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 6456326016 is about 80351.2664243694. The cubic root of 6456326016 is about 1862.0663450298.

The spelling of 6456326016 in words is "six billion, four hundred fifty-six million, three hundred twenty-six thousand, sixteen".