6572919093440 has 448 divisors, whose sum is σ = 18589496260608. Its totient is φ = 2166961766400.

The previous prime is 6572919093427. The next prime is 6572919093449. The reversal of 6572919093440 is 443909192756.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×6572919093440² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6572919093440.

It is not an unprimeable number, because it can be changed into a prime (6572919093449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2147309510 + ... + 2147312570.

It is an arithmetic number, because the mean of its divisors is an integer number (41494411296).

Almost surely, 2^{6572919093440} 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 6572919093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9294748130304).

6572919093440 is an abundant number, since it is smaller than the sum of its proper divisors (12016577167168).

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

6572919093440 is a wasteful number, since it uses less digits than its factorization.

6572919093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 59.

The spelling of 6572919093440 in words is "six trillion, five hundred seventy-two billion, nine hundred nineteen million, ninety-three thousand, four hundred forty".