6806371645440 has 768 divisors, whose sum is σ = 24673720780800. Its totient is φ = 1779292569600.

The previous prime is 6806371645439. The next prime is 6806371645459. The reversal of 6806371645440 is 445461736086.

6806371645440 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 37 + 1 + 64 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×6806371645440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 7471318585 + ... + 7471319495.

It is an arithmetic number, because the mean of its divisors is an integer number (32127240600).

Almost surely, 2^{6806371645440} is an apocalyptic number.

6806371645440 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 6806371645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12336860390400).

6806371645440 is an abundant number, since it is smaller than the sum of its proper divisors (17867349135360).

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

6806371645440 is a wasteful number, since it uses less digits than its factorization.

6806371645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 6806371645440 in words is "six trillion, eight hundred six billion, three hundred seventy-one million, six hundred forty-five thousand, four hundred forty".