68467783680 has 960 divisors, whose sum is σ = 265712166720. Its totient is φ = 16817061888.

The previous prime is 68467783667. The next prime is 68467783687. The reversal of 68467783680 is 8638776486.

68467783680 is a `hidden beast` number, since 68 + 467 + 7 + 8 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68467783687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 705853392 + ... + 705853488.

It is an arithmetic number, because the mean of its divisors is an integer number (276783507).

Almost surely, 2^68467783680 is an apocalyptic number.

68467783680 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 68467783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132856083360).

68467783680 is an abundant number, since it is smaller than the sum of its proper divisors (197244383040).

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

68467783680 is a wasteful number, since it uses less digits than its factorization.

68467783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 68467783680 in words is "sixty-eight billion, four hundred sixty-seven million, seven hundred eighty-three thousand, six hundred eighty".