6801476276736 has 640 divisors, whose sum is σ = 21641323080960. Its totient is φ = 2101592457216.

The previous prime is 6801476276731. The next prime is 6801476276779. The reversal of 6801476276736 is 6376726741086.

6801476276736 is a `hidden beast` number, since 6 + 80 + 1 + 476 + 27 + 67 + 3 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (6801476276731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4953732946 + ... + 4953734318.

It is an arithmetic number, because the mean of its divisors is an integer number (33814567314).

Almost surely, 2^{6801476276736} 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 6801476276736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10820661540480).

6801476276736 is an abundant number, since it is smaller than the sum of its proper divisors (14839846804224).

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

6801476276736 is a wasteful number, since it uses less digits than its factorization.

6801476276736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 6801476276736 in words is "six trillion, eight hundred one billion, four hundred seventy-six million, two hundred seventy-six thousand, seven hundred thirty-six".