68291373072384 has 1536 divisors, whose sum is σ = 263374650040320. Its totient is φ = 17161047244800.

The previous prime is 68291373072383. The next prime is 68291373072401. The reversal of 68291373072384 is 48327037319286.

68291373072384 is a `hidden beast` number, since 6 + 8 + 2 + 91 + 3 + 7 + 307 + 238 + 4 = 666.

68291373072384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×68291373072384² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (68291373072383) 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, 19006781692 + ... + 19006785284.

It is an arithmetic number, because the mean of its divisors is an integer number (171467871120).

Almost surely, 2^{68291373072384} is an apocalyptic number.

68291373072384 is a gapful number since it is divisible by the number (64) 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 68291373072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131687325020160).

68291373072384 is an abundant number, since it is smaller than the sum of its proper divisors (195083276967936).

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

68291373072384 is an equidigital number, since it uses as much as digits as its factorization.

68291373072384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 68291373072384 in words is "sixty-eight trillion, two hundred ninety-one billion, three hundred seventy-three million, seventy-two thousand, three hundred eighty-four".