68532052216320 has 4480 divisors, whose sum is σ = 320272221265920. Its totient is φ = 13647619031040.

The previous prime is 68532052216291. The next prime is 68532052216337. The reversal of 68532052216320 is 2361225023586.

68532052216320 is a `hidden beast` number, since 6 + 8 + 5 + 3 + 2 + 0 + 5 + 2 + 2 + 1 + 632 + 0 = 666.

68532052216320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×68532052216320² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 493036346811 + ... + 493036346949.

It is an arithmetic number, because the mean of its divisors is an integer number (71489335104).

Almost surely, 2^{68532052216320} is an apocalyptic number.

68532052216320 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 68532052216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160136110632960).

68532052216320 is an abundant number, since it is smaller than the sum of its proper divisors (251740169049600).

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

68532052216320 is a wasteful number, since it uses less digits than its factorization.

68532052216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 68532052216320 in words is "sixty-eight trillion, five hundred thirty-two billion, fifty-two million, two hundred sixteen thousand, three hundred twenty".