6771709440 has 480 divisors, whose sum is σ = 25534080000. Its totient is φ = 1652244480.

The previous prime is 6771709423. The next prime is 6771709457. The reversal of 6771709440 is 449071776.

It is an interprime number because it is at equal distance from previous prime (6771709423) and next prime (6771709457).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6771709440² = 91712097479570227200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 13570311 + ... + 13570809.

It is an arithmetic number, because the mean of its divisors is an integer number (53196000).

Almost surely, 2^6771709440 is an apocalyptic number.

6771709440 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 6771709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767040000).

6771709440 is an abundant number, since it is smaller than the sum of its proper divisors (18762370560).

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

6771709440 is a wasteful number, since it uses less digits than its factorization.

6771709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 6771709440 is about 82290.3970096147. The cubic root of 6771709440 is about 1891.9054940451.

The spelling of 6771709440 in words is "six billion, seven hundred seventy-one million, seven hundred nine thousand, four hundred forty".