68880430080 has 1056 divisors, whose sum is σ = 309011189760. Its totient is φ = 14292910080.

The previous prime is 68880430079. The next prime is 68880430093. The reversal of 68880430080 is 8003408886.

68880430080 is a `hidden beast` number, since 68 + 8 + 80 + 430 + 0 + 80 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95799961 + ... + 95800679.

Almost surely, 2^68880430080 is an apocalyptic number.

68880430080 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 68880430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154505594880).

68880430080 is an abundant number, since it is smaller than the sum of its proper divisors (240130759680).

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

68880430080 is a wasteful number, since it uses less digits than its factorization.

68880430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 68880430080 in words is "sixty-eight billion, eight hundred eighty million, four hundred thirty thousand, eighty".