68147449742880 has 288 divisors, whose sum is σ = 236798981205696. Its totient is φ = 17843555100672.

The previous prime is 68147449742863. The next prime is 68147449742903. The reversal of 68147449742880 is 8824794474186.

68147449742880 is a `hidden beast` number, since 6 + 8 + 1 + 474 + 4 + 9 + 74 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×68147449742880² (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 = 68147449742799 and 68147449742808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17732754 + ... + 21230766.

It is an arithmetic number, because the mean of its divisors is an integer number (822218684742).

Almost surely, 2^{68147449742880} is an apocalyptic number.

68147449742880 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 68147449742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118399490602848).

68147449742880 is an abundant number, since it is smaller than the sum of its proper divisors (168651531462816).

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

68147449742880 is a wasteful number, since it uses less digits than its factorization.

68147449742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498280 (or 3498269 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 68147449742880 in words is "sixty-eight trillion, one hundred forty-seven billion, four hundred forty-nine million, seven hundred forty-two thousand, eight hundred eighty".