6575668416 has 252 divisors, whose sum is σ = 20070348480. Its totient is φ = 2056181760.

The previous prime is 6575668387. The next prime is 6575668427. The reversal of 6575668416 is 6148665756.

6575668416 is a `hidden beast` number, since 6 + 575 + 6 + 68 + 4 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24444730 + ... + 24444998.

It is an arithmetic number, because the mean of its divisors is an integer number (79644240).

Almost surely, 2^6575668416 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 6575668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10035174240).

6575668416 is an abundant number, since it is smaller than the sum of its proper divisors (13494680064).

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

6575668416 is a wasteful number, since it uses less digits than its factorization.

6575668416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 342 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 6575668416 is about 81090.4952260128. The cubic root of 6575668416 is about 1873.4695342463.

The spelling of 6575668416 in words is "six billion, five hundred seventy-five million, six hundred sixty-eight thousand, four hundred sixteen".