67828434912 has 384 divisors, whose sum is σ = 240116244480. Its totient is φ = 18184642560.

The previous prime is 67828434881. The next prime is 67828434917. The reversal of 67828434912 is 21943482876.

67828434912 is a `hidden beast` number, since 6 + 7 + 8 + 284 + 349 + 12 = 666.

It is a super-2 number, since 2×67828434912² (a number of 22 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (67828434917) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43284753 + ... + 43286319.

It is an arithmetic number, because the mean of its divisors is an integer number (625302720).

Almost surely, 2^67828434912 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 67828434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120058122240).

67828434912 is an abundant number, since it is smaller than the sum of its proper divisors (172287809568).

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

67828434912 is a wasteful number, since it uses less digits than its factorization.

67828434912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2017 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 67828434912 in words is "sixty-seven billion, eight hundred twenty-eight million, four hundred thirty-four thousand, nine hundred twelve".