6266338398720 has 640 divisors, whose sum is σ = 22832393633280. Its totient is φ = 1628055797760.

The previous prime is 6266338398709. The next prime is 6266338398739. The reversal of 6266338398720 is 278938336626.

6266338398720 is a `hidden beast` number, since 6 + 266 + 338 + 39 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3692596912 + ... + 3692598608.

It is an arithmetic number, because the mean of its divisors is an integer number (35675615052).

Almost surely, 2^{6266338398720} is an apocalyptic number.

6266338398720 is a gapful number since it is divisible by the number (60) 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 6266338398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416196816640).

6266338398720 is an abundant number, since it is smaller than the sum of its proper divisors (16566055234560).

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

6266338398720 is a wasteful number, since it uses less digits than its factorization.

6266338398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 6266338398720 in words is "six trillion, two hundred sixty-six billion, three hundred thirty-eight million, three hundred ninety-eight thousand, seven hundred twenty".