6271384961376 has 720 divisors, whose sum is σ = 21183106467600. Its totient is φ = 1813411971072.

The previous prime is 6271384961353. The next prime is 6271384961377. The reversal of 6271384961376 is 6731694831726.

It is a happy number.

6271384961376 is a `hidden beast` number, since 6 + 2 + 7 + 1 + 3 + 8 + 4 + 9 + 613 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6271384961377) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 526602910 + ... + 526614818.

It is an arithmetic number, because the mean of its divisors is an integer number (29420981205).

Almost surely, 2^{6271384961376} 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 6271384961376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10591553233800).

6271384961376 is an abundant number, since it is smaller than the sum of its proper divisors (14911721506224).

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

6271384961376 is a wasteful number, since it uses less digits than its factorization.

6271384961376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12021 (or 11987 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 6271384961376 in words is "six trillion, two hundred seventy-one billion, three hundred eighty-four million, nine hundred sixty-one thousand, three hundred seventy-six".