6581219040 has 432 divisors, whose sum is σ = 24986982384. Its totient is φ = 1576058880.

The previous prime is 6581218981. The next prime is 6581219041. The reversal of 6581219040 is 409121856.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6581218986 and 6581219004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6581219041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18643504 + ... + 18643856.

It is an arithmetic number, because the mean of its divisors is an integer number (57840237).

Almost surely, 2^6581219040 is an apocalyptic number.

6581219040 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 6581219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12493491192).

6581219040 is an abundant number, since it is smaller than the sum of its proper divisors (18405763344).

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

6581219040 is a wasteful number, since it uses less digits than its factorization.

6581219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6581219040 is about 81124.7128808478. The cubic root of 6581219040 is about 1873.9965275855.

The spelling of 6581219040 in words is "six billion, five hundred eighty-one million, two hundred nineteen thousand, forty".