6508229040 has 320 divisors, whose sum is σ = 23527065600. Its totient is φ = 1650502656.

The previous prime is 6508229029. The next prime is 6508229069. The reversal of 6508229040 is 409228056.

It is a happy number.

6508229040 is a `hidden beast` number, since 6 + 508 + 22 + 90 + 40 = 666.

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 = 6508228986 and 6508229004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13363677 + ... + 13364163.

It is an arithmetic number, because the mean of its divisors is an integer number (73522080).

Almost surely, 2^6508229040 is an apocalyptic number.

6508229040 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 6508229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11763532800).

6508229040 is an abundant number, since it is smaller than the sum of its proper divisors (17018836560).

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

6508229040 is a wasteful number, since it uses less digits than its factorization.

6508229040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6508229040 is about 80673.5956803712. The cubic root of 6508229040 is about 1867.0428099710.

The spelling of 6508229040 in words is "six billion, five hundred eight million, two hundred twenty-nine thousand, forty".