6701121440 has 96 divisors (see below), whose sum is σ = 17093054160. Its totient is φ = 2467897344.

The previous prime is 6701121433. The next prime is 6701121451. The reversal of 6701121440 is 441211076.

It can be written as a sum of positive squares in 8 ways, for example, as 1956115984 + 4745005456 = 44228^2 + 68884^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846782 + ... + 854658.

Almost surely, 2^6701121440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6701121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8546527080).

6701121440 is an abundant number, since it is smaller than the sum of its proper divisors (10391932720).

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

6701121440 is a wasteful number, since it uses less digits than its factorization.

6701121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8314 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 6701121440 is about 81860.3777171838. The cubic root of 6701121440 is about 1885.3088063850.

The spelling of 6701121440 in words is "six billion, seven hundred one million, one hundred twenty-one thousand, four hundred forty".