68276113920 has 960 divisors, whose sum is σ = 297246153600. Its totient is φ = 14770667520.

The previous prime is 68276113907. The next prime is 68276113921. The reversal of 68276113920 is 2931167286.

68276113920 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 611 + 3 + 9 + 20 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (68276113921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64350190 + ... + 64351250.

It is an arithmetic number, because the mean of its divisors is an integer number (309631410).

Almost surely, 2^68276113920 is an apocalyptic number.

68276113920 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 68276113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148623076800).

68276113920 is an abundant number, since it is smaller than the sum of its proper divisors (228970039680).

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

68276113920 is a wasteful number, since it uses less digits than its factorization.

68276113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 68276113920 in words is "sixty-eight billion, two hundred seventy-six million, one hundred thirteen thousand, nine hundred twenty".