6501358080 has 480 divisors, whose sum is σ = 26703540864. Its totient is φ = 1485029376.

The previous prime is 6501358057. The next prime is 6501358091. The reversal of 6501358080 is 808531056.

6501358080 is a `hidden beast` number, since 65 + 0 + 13 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4353814 + ... + 4355306.

Almost surely, 2^6501358080 is an apocalyptic number.

6501358080 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 6501358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351770432).

6501358080 is an abundant number, since it is smaller than the sum of its proper divisors (20202182784).

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

6501358080 is an equidigital number, since it uses as much as digits as its factorization.

6501358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 6501358080 is about 80630.9994977118. Note that the first 3 decimals coincide. The cubic root of 6501358080 is about 1866.3855449665.

The spelling of 6501358080 in words is "six billion, five hundred one million, three hundred fifty-eight thousand, eighty".