6450747211584 has 1120 divisors, whose sum is σ = 22744182827520. Its totient is φ = 1790013800448.

The previous prime is 6450747211543. The next prime is 6450747211589. The reversal of 6450747211584 is 4851127470546.

It is a happy number.

6450747211584 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 7 + 47 + 2 + 11 + 584 = 666.

It is a super-2 number, since 2×6450747211584² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6450747211584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6450747211589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2226697624 + ... + 2226700520.

It is an arithmetic number, because the mean of its divisors is an integer number (20307306096).

Almost surely, 2^{6450747211584} is an apocalyptic number.

6450747211584 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 6450747211584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11372091413760).

6450747211584 is an abundant number, since it is smaller than the sum of its proper divisors (16293435615936).

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

6450747211584 is a wasteful number, since it uses less digits than its factorization.

6450747211584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 6450747211584 in words is "six trillion, four hundred fifty billion, seven hundred forty-seven million, two hundred eleven thousand, five hundred eighty-four".