6710850007680 has 1536 divisors, whose sum is σ = 27442020856320. Its totient is φ = 1358105149440.

The previous prime is 6710850007663. The next prime is 6710850007681. The reversal of 6710850007680 is 867000580176.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6710850007681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21440415204 + ... + 21440415516.

It is an arithmetic number, because the mean of its divisors is an integer number (17865898995).

Almost surely, 2^{6710850007680} is an apocalyptic number.

6710850007680 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 6710850007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721010428160).

6710850007680 is an abundant number, since it is smaller than the sum of its proper divisors (20731170848640).

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

6710850007680 is a wasteful number, since it uses less digits than its factorization.

6710850007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 6710850007680 in words is "six trillion, seven hundred ten billion, eight hundred fifty million, seven thousand, six hundred eighty".