6810910064640 has 968 divisors, whose sum is σ = 26748143972568. Its totient is φ = 1651129712640.

The previous prime is 6810910064597. The next prime is 6810910064659. The reversal of 6810910064640 is 464600190186.

6810910064640 is a `hidden beast` number, since 6 + 81 + 0 + 9 + 100 + 6 + 464 + 0 = 666.

It is a super-2 number, since 2×6810910064640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 619173642235 + ... + 619173642245.

Almost surely, 2^{6810910064640} is an apocalyptic number.

6810910064640 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 6810910064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13374071986284).

6810910064640 is an abundant number, since it is smaller than the sum of its proper divisors (19937233907928).

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

6810910064640 is an frugal number, since it uses more digits than its factorization.

6810910064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 6810910064640 in words is "six trillion, eight hundred ten billion, nine hundred ten million, sixty-four thousand, six hundred forty".