6466956496 has 240 divisors, whose sum is σ = 17597623680. Its totient is φ = 2261468160.

The previous prime is 6466956473. The next prime is 6466956497. The reversal of 6466956496 is 6946596646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6466956497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4147365 + ... + 4148923.

It is an arithmetic number, because the mean of its divisors is an integer number (73323432).

Almost surely, 2^6466956496 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 6466956496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8798811840).

6466956496 is an abundant number, since it is smaller than the sum of its proper divisors (11130667184).

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

6466956496 is a wasteful number, since it uses less digits than its factorization.

6466956496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1629 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 61.

The square root of 6466956496 is about 80417.3892637656. The cubic root of 6466956496 is about 1863.0877621023.

The spelling of 6466956496 in words is "six billion, four hundred sixty-six million, nine hundred fifty-six thousand, four hundred ninety-six".