6710767785840 has 320 divisors, whose sum is σ = 21482332185600. Its totient is φ = 1731680428032.

The previous prime is 6710767785779. The next prime is 6710767785871. The reversal of 6710767785840 is 485877670176.

It is a super-2 number, since 2×6710767785840² (a number of 26 digits) contains 22 as substring.

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, 2729062531 + ... + 2729064989.

It is an arithmetic number, because the mean of its divisors is an integer number (67132288080).

Almost surely, 2^{6710767785840} is an apocalyptic number.

6710767785840 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 6710767785840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10741166092800).

6710767785840 is an abundant number, since it is smaller than the sum of its proper divisors (14771564399760).

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

6710767785840 is a wasteful number, since it uses less digits than its factorization.

6710767785840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 66.

The spelling of 6710767785840 in words is "six trillion, seven hundred ten billion, seven hundred sixty-seven million, seven hundred eighty-five thousand, eight hundred forty".