6213947264 has 256 divisors, whose sum is σ = 15545779200. Its totient is φ = 2415329280.

The previous prime is 6213947261. The next prime is 6213947269. The reversal of 6213947264 is 4627493126.

It is a super-2 number, since 2×6213947264² = 77226281199546171392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6213947261) 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, 64061264 + ... + 64061360.

It is an arithmetic number, because the mean of its divisors is an integer number (60725700).

Almost surely, 2^6213947264 is an apocalyptic number.

6213947264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6213947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772889600).

6213947264 is an abundant number, since it is smaller than the sum of its proper divisors (9331831936).

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

6213947264 is a wasteful number, since it uses less digits than its factorization.

6213947264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 6213947264 is about 78828.5942028652. The cubic root of 6213947264 is about 1838.4670660275.

The spelling of 6213947264 in words is "six billion, two hundred thirteen million, nine hundred forty-seven thousand, two hundred sixty-four".