68384147832 has 384 divisors, whose sum is σ = 256457664000. Its totient is φ = 16395125760.

The previous prime is 68384147809. The next prime is 68384147849. The reversal of 68384147832 is 23874148386.

68384147832 is a `hidden beast` number, since 68 + 3 + 84 + 1 + 478 + 32 = 666.

68384147832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2798644 + ... + 2822972.

It is an arithmetic number, because the mean of its divisors is an integer number (667858500).

Almost surely, 2^68384147832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68384147832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128228832000).

68384147832 is an abundant number, since it is smaller than the sum of its proper divisors (188073516168).

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

68384147832 is a wasteful number, since it uses less digits than its factorization.

68384147832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24388 (or 24365 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 68384147832 in words is "sixty-eight billion, three hundred eighty-four million, one hundred forty-seven thousand, eight hundred thirty-two".