68421257280 has 672 divisors, whose sum is σ = 262412317440. Its totient is φ = 16930529280.

The previous prime is 68421257243. The next prime is 68421257287. The reversal of 68421257280 is 8275212486.

68421257280 is a `hidden beast` number, since 68 + 4 + 2 + 12 + 572 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (68421257287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 963679645 + ... + 963679715.

It is an arithmetic number, because the mean of its divisors is an integer number (390494520).

Almost surely, 2^68421257280 is an apocalyptic number.

68421257280 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 68421257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131206158720).

68421257280 is an abundant number, since it is smaller than the sum of its proper divisors (193991060160).

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

68421257280 is an frugal number, since it uses more digits than its factorization.

68421257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 68421257280 in words is "sixty-eight billion, four hundred twenty-one million, two hundred fifty-seven thousand, two hundred eighty".