6575721984 has 240 divisors, whose sum is σ = 21103065984. Its totient is φ = 1957478400.

The previous prime is 6575721931. The next prime is 6575722001. The reversal of 6575721984 is 4891275756.

6575721984 is a `hidden beast` number, since 6 + 57 + 572 + 19 + 8 + 4 = 666.

It is a super-2 number, since 2×6575721984² = 86480239221721792512, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6575721984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1855254 + ... + 1858794.

Almost surely, 2^6575721984 is an apocalyptic number.

6575721984 is a gapful number since it is divisible by the number (64) 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 6575721984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10551532992).

6575721984 is an abundant number, since it is smaller than the sum of its proper divisors (14527344000).

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

6575721984 is a wasteful number, since it uses less digits than its factorization.

6575721984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3590 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 6575721984 is about 81090.8255229900. The cubic root of 6575721984 is about 1873.4746215742.

The spelling of 6575721984 in words is "six billion, five hundred seventy-five million, seven hundred twenty-one thousand, nine hundred eighty-four".