6457564085280 has 768 divisors, whose sum is σ = 26787711025152. Its totient is φ = 1268338176000.

The previous prime is 6457564085261. The next prime is 6457564085293. The reversal of 6457564085280 is 825804657546.

It is a super-2 number, since 2×6457564085280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 49202145 + ... + 49333215.

It is an arithmetic number, because the mean of its divisors is an integer number (34879832064).

Almost surely, 2^{6457564085280} is an apocalyptic number.

6457564085280 is a gapful number since it is divisible by the number (60) 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 6457564085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13393855512576).

6457564085280 is an abundant number, since it is smaller than the sum of its proper divisors (20330146939872).

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

6457564085280 is a wasteful number, since it uses less digits than its factorization.

6457564085280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131181 (or 131173 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 60.

The spelling of 6457564085280 in words is "six trillion, four hundred fifty-seven billion, five hundred sixty-four million, eighty-five thousand, two hundred eighty".