68211823680 has 1680 divisors, whose sum is σ = 329625838080. Its totient is φ = 13028843520.

The previous prime is 68211823663. The next prime is 68211823699. The reversal of 68211823680 is 8632811286.

It is a tau number, because it is divible by the number of its divisors (1680).

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

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 239 ways as a sum of consecutive naturals, for example, 285405001 + ... + 285405239.

It is an arithmetic number, because the mean of its divisors is an integer number (196205856).

Almost surely, 2^68211823680 is an apocalyptic number.

68211823680 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 68211823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164812919040).

68211823680 is an abundant number, since it is smaller than the sum of its proper divisors (261414014400).

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

68211823680 is a wasteful number, since it uses less digits than its factorization.

68211823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 68211823680 in words is "sixty-eight billion, two hundred eleven million, eight hundred twenty-three thousand, six hundred eighty".