6771363840 has 312 divisors, whose sum is σ = 24863354568. Its totient is φ = 1698693120.

The previous prime is 6771363839. The next prime is 6771363877. The reversal of 6771363840 is 483631776.

6771363840 is a `hidden beast` number, since 6 + 7 + 7 + 1 + 3 + 638 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1751924736 + 5019439104 = 41856^2 + 70848^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3132360 + ... + 3134520.

It is an arithmetic number, because the mean of its divisors is an integer number (79690239).

Almost surely, 2^6771363840 is an apocalyptic number.

6771363840 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 6771363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431677284).

6771363840 is an abundant number, since it is smaller than the sum of its proper divisors (18091990728).

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

6771363840 is a wasteful number, since it uses less digits than its factorization.

6771363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6771363840 is about 82288.2971023219. The cubic root of 6771363840 is about 1891.8733084910.

The spelling of 6771363840 in words is "six billion, seven hundred seventy-one million, three hundred sixty-three thousand, eight hundred forty".