6771435840 has 672 divisors, whose sum is σ = 27313493760. Its totient is φ = 1569632256.

The previous prime is 6771435833. The next prime is 6771435857. The reversal of 6771435840 is 485341776.

6771435840 is a `hidden beast` number, since 67 + 7 + 1 + 4 + 3 + 584 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 40547437 + ... + 40547603.

It is an arithmetic number, because the mean of its divisors is an integer number (40645080).

Almost surely, 2^6771435840 is an apocalyptic number.

6771435840 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 6771435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656746880).

6771435840 is an abundant number, since it is smaller than the sum of its proper divisors (20542057920).

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

6771435840 is a wasteful number, since it uses less digits than its factorization.

6771435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6771435840 is about 82288.7345874270. The cubic root of 6771435840 is about 1891.8800139051.

The spelling of 6771435840 in words is "six billion, seven hundred seventy-one million, four hundred thirty-five thousand, eight hundred forty".