6581369340 has 864 divisors, whose sum is σ = 27582327360. Its totient is φ = 1290691584.

The previous prime is 6581369309. The next prime is 6581369363. The reversal of 6581369340 is 439631856.

6581369340 is a `hidden beast` number, since 6 + 581 + 3 + 69 + 3 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 124176754 + ... + 124176806.

It is an arithmetic number, because the mean of its divisors is an integer number (31923990).

Almost surely, 2^6581369340 is an apocalyptic number.

6581369340 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 6581369340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791163680).

6581369340 is an abundant number, since it is smaller than the sum of its proper divisors (21000958020).

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

6581369340 is a wasteful number, since it uses less digits than its factorization.

6581369340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6581369340 is about 81125.6392270656. The cubic root of 6581369340 is about 1874.0107934093.

The spelling of 6581369340 in words is "six billion, five hundred eighty-one million, three hundred sixty-nine thousand, three hundred forty".