68381832960 has 1512 divisors, whose sum is σ = 306428058720. Its totient is φ = 14296891392.

The previous prime is 68381832919. The next prime is 68381832983. The reversal of 68381832960 is 6923818386.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68381832897 and 68381832906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2357994226 + ... + 2357994254.

It is an arithmetic number, because the mean of its divisors is an integer number (202664060).

Almost surely, 2^68381832960 is an apocalyptic number.

68381832960 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 68381832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153214029360).

68381832960 is an abundant number, since it is smaller than the sum of its proper divisors (238046225760).

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

68381832960 is an equidigital number, since it uses as much as digits as its factorization.

68381832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 68381832960 in words is "sixty-eight billion, three hundred eighty-one million, eight hundred thirty-two thousand, nine hundred sixty".