6500074560 has 224 divisors, whose sum is σ = 23817510912. Its totient is φ = 1471150080.

The previous prime is 6500074549. The next prime is 6500074571. The reversal of 6500074560 is 654700056.

It is an interprime number because it is at equal distance from previous prime (6500074549) and next prime (6500074571).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687465 + ... + 696855.

Almost surely, 2^6500074560 is an apocalyptic number.

6500074560 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 6500074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908755456).

6500074560 is an abundant number, since it is smaller than the sum of its proper divisors (17317436352).

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

6500074560 is a wasteful number, since it uses less digits than its factorization.

6500074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521 (or 9511 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 6500074560 is about 80623.0398831500. The cubic root of 6500074560 is about 1866.2627141770.

The spelling of 6500074560 in words is "six billion, five hundred million, seventy-four thousand, five hundred sixty".