68919621120 has 1920 divisors, whose sum is σ = 321729408000. Its totient is φ = 14046068736.

The previous prime is 68919621107. The next prime is 68919621151. The reversal of 68919621120 is 2112691986.

68919621120 is a `hidden beast` number, since 6 + 8 + 9 + 1 + 9 + 621 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3627348471 + ... + 3627348489.

It is an arithmetic number, because the mean of its divisors is an integer number (167567400).

Almost surely, 2^68919621120 is an apocalyptic number.

68919621120 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 68919621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704000).

68919621120 is an abundant number, since it is smaller than the sum of its proper divisors (252809786880).

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

68919621120 is an equidigital number, since it uses as much as digits as its factorization.

68919621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 68919621120 in words is "sixty-eight billion, nine hundred nineteen million, six hundred twenty-one thousand, one hundred twenty".