653368731268480 has 384 divisors, whose sum is σ = 1645733384268480. Its totient is φ = 247966414848000.

The previous prime is 653368731268417. The next prime is 653368731268489. The reversal of 653368731268480 is 84862137863356.

It is a super-3 number, since 3×653368731268480³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653368731268489) 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 47 ways as a sum of consecutive naturals, for example, 11667895842 + ... + 11667951838.

Almost surely, 2^{653368731268480} 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 653368731268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822866692134240).

653368731268480 is an abundant number, since it is smaller than the sum of its proper divisors (992364653000000).

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

653368731268480 is a wasteful number, since it uses less digits than its factorization.

653368731268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56450 (or 56407 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 70.

The spelling of 653368731268480 in words is "six hundred fifty-three trillion, three hundred sixty-eight billion, seven hundred thirty-one million, two hundred sixty-eight thousand, four hundred eighty".