68244280372224 has 1056 divisors, whose sum is σ = 231500882995200. Its totient is φ = 19893023539200.

The previous prime is 68244280372157. The next prime is 68244280372259. The reversal of 68244280372224 is 42227308244286.

68244280372224 is a `hidden beast` number, since 6 + 8 + 2 + 4 + 42 + 8 + 0 + 372 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14679343852 + ... + 14679348500.

Almost surely, 2^{68244280372224} is an apocalyptic number.

68244280372224 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 68244280372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115750441497600).

68244280372224 is an abundant number, since it is smaller than the sum of its proper divisors (163256602622976).

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

68244280372224 is a wasteful number, since it uses less digits than its factorization.

68244280372224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

The spelling of 68244280372224 in words is "sixty-eight trillion, two hundred forty-four billion, two hundred eighty million, three hundred seventy-two thousand, two hundred twenty-four".