6817341440 has 448 divisors, whose sum is σ = 21138001920. Its totient is φ = 2052587520.

The previous prime is 6817341413. The next prime is 6817341469. The reversal of 6817341440 is 441437186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×6817341440² = 92952288619082547200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6817341394 and 6817341403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115548131 + ... + 115548189.

It is an arithmetic number, because the mean of its divisors is an integer number (47183040).

Almost surely, 2^6817341440 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 6817341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569000960).

6817341440 is an abundant number, since it is smaller than the sum of its proper divisors (14320660480).

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

6817341440 is a wasteful number, since it uses less digits than its factorization.

6817341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 6817341440 is about 82567.1934850640. The cubic root of 6817341440 is about 1896.1455970134.

The spelling of 6817341440 in words is "six billion, eight hundred seventeen million, three hundred forty-one thousand, four hundred forty".