68833961844480 has 3240 divisors, whose sum is σ = 309429159643296. Its totient is φ = 14540189368320.

The previous prime is 68833961844451. The next prime is 68833961844493. The reversal of 68833961844480 is 8444816933886.

68833961844480 is a `hidden beast` number, since 6 + 8 + 8 + 3 + 3 + 9 + 61 + 84 + 4 + 480 = 666.

68833961844480 is digitally balanced in base 2, 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 (3240).

It is a super-2 number, since 2×68833961844480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 68833961844399 and 68833961844408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 112290312654 + ... + 112290313266.

Almost surely, 2^{68833961844480} is an apocalyptic number.

68833961844480 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 68833961844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154714579821648).

68833961844480 is an abundant number, since it is smaller than the sum of its proper divisors (240595197798816).

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

68833961844480 is a wasteful number, since it uses less digits than its factorization.

68833961844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 68833961844480 in words is "sixty-eight trillion, eight hundred thirty-three billion, nine hundred sixty-one million, eight hundred forty-four thousand, four hundred eighty".