6075523340640 has 1152 divisors, whose sum is σ = 24411011264640. Its totient is φ = 1362295259136.

The previous prime is 6075523340617. The next prime is 6075523340659. The reversal of 6075523340640 is 460433255706.

6075523340640 is a `hidden beast` number, since 6 + 0 + 7 + 5 + 5 + 233 + 406 + 4 + 0 = 666.

It is a super-2 number, since 2×6075523340640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1546326196 + ... + 1546330124.

It is an arithmetic number, because the mean of its divisors is an integer number (21190113945).

Almost surely, 2^{6075523340640} is an apocalyptic number.

6075523340640 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 6075523340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12205505632320).

6075523340640 is an abundant number, since it is smaller than the sum of its proper divisors (18335487924000).

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

6075523340640 is a wasteful number, since it uses less digits than its factorization.

6075523340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 6075523340640 in words is "six trillion, seventy-five billion, five hundred twenty-three million, three hundred forty thousand, six hundred forty".