6574535968 has 288 divisors, whose sum is σ = 17928110592. Its totient is φ = 2308331520.

The previous prime is 6574535959. The next prime is 6574535969. The reversal of 6574535968 is 8695354756.

It is not an unprimeable number, because it can be changed into a prime (6574535969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16560346 + ... + 16560742.

It is an arithmetic number, because the mean of its divisors is an integer number (62250384).

Almost surely, 2^6574535968 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 6574535968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964055296).

6574535968 is an abundant number, since it is smaller than the sum of its proper divisors (11353574624).

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

6574535968 is a wasteful number, since it uses less digits than its factorization.

6574535968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 58.

The square root of 6574535968 is about 81083.5123067569. The cubic root of 6574535968 is about 1873.3619797237.

The spelling of 6574535968 in words is "six billion, five hundred seventy-four million, five hundred thirty-five thousand, nine hundred sixty-eight".