68661725220 has 336 divisors, whose sum is σ = 237073273920. Its totient is φ = 16558214400.

The previous prime is 68661725219. The next prime is 68661725239. The reversal of 68661725220 is 2252716686.

68661725220 is a `hidden beast` number, since 6 + 8 + 6 + 617 + 2 + 5 + 2 + 20 = 666.

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 111 ways as a sum of consecutive naturals, for example, 33839166 + ... + 33841194.

It is an arithmetic number, because the mean of its divisors is an integer number (705575220).

Almost surely, 2^68661725220 is an apocalyptic number.

68661725220 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 68661725220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118536636960).

68661725220 is an abundant number, since it is smaller than the sum of its proper divisors (168411548700).

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

68661725220 is a wasteful number, since it uses less digits than its factorization.

68661725220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 68661 and 725220, that added together give a square (793881 = 891²).

The spelling of 68661725220 in words is "sixty-eight billion, six hundred sixty-one million, seven hundred twenty-five thousand, two hundred twenty".