6495687072 has 288 divisors, whose sum is σ = 21893639040. Its totient is φ = 1788272640.

The previous prime is 6495687067. The next prime is 6495687101. The reversal of 6495687072 is 2707865946.

6495687072 is a `hidden beast` number, since 6 + 4 + 9 + 568 + 7 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7355943 + ... + 7356825.

It is an arithmetic number, because the mean of its divisors is an integer number (76019580).

Almost surely, 2^6495687072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6495687072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946819520).

6495687072 is an abundant number, since it is smaller than the sum of its proper divisors (15397951968).

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

6495687072 is a wasteful number, since it uses less digits than its factorization.

6495687072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 6495687072 is about 80595.8254005752. The cubic root of 6495687072 is about 1865.8427165191.

The spelling of 6495687072 in words is "six billion, four hundred ninety-five million, six hundred eighty-seven thousand, seventy-two".