6266738016 has 480 divisors, whose sum is σ = 24342861312. Its totient is φ = 1531146240.

The previous prime is 6266738003. The next prime is 6266738017. The reversal of 6266738016 is 6108376626.

6266738016 is a `hidden beast` number, since 6 + 266 + 7 + 380 + 1 + 6 = 666.

It is a super-2 number, since 2×6266738016² = 78544010722359232512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6266738017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3392005 + ... + 3393851.

Almost surely, 2^6266738016 is an apocalyptic number.

6266738016 is a gapful number since it is divisible by the number (66) 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 6266738016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12171430656).

6266738016 is an abundant number, since it is smaller than the sum of its proper divisors (18076123296).

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

6266738016 is a wasteful number, since it uses less digits than its factorization.

6266738016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6266738016 is about 79162.7312313061. The cubic root of 6266738016 is about 1843.6586403437.

The spelling of 6266738016 in words is "six billion, two hundred sixty-six million, seven hundred thirty-eight thousand, sixteen".