6456266000 has 80 divisors (see below), whose sum is σ = 15825461808. Its totient is φ = 2547072000.

The previous prime is 6456265979. The next prime is 6456266017. The reversal of 6456266000 is 6626546.

It can be written as a sum of positive squares in 8 ways, for example, as 339149056 + 6117116944 = 18416^2 + 78212^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123890 + ... + 168110.

Almost surely, 2^6456266000 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 6456266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912730904).

6456266000 is an abundant number, since it is smaller than the sum of its proper divisors (9369195808).

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

6456266000 is a wasteful number, since it uses less digits than its factorization.

6456266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44317 (or 44301 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 6456266000 is about 80350.8929633019. The cubic root of 6456266000 is about 1862.0605752819.

The spelling of 6456266000 in words is "six billion, four hundred fifty-six million, two hundred sixty-six thousand".