678838253184 has 768 divisors, whose sum is σ = 2594035342080. Its totient is φ = 165300535296.

The previous prime is 678838253161. The next prime is 678838253189. The reversal of 678838253184 is 481352838876.

678838253184 is a `hidden beast` number, since 6 + 78 + 8 + 382 + 5 + 3 + 184 = 666.

It is a super-2 number, since 2×678838253184² (a number of 24 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 (678838253189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94450039 + ... + 94457225.

It is an arithmetic number, because the mean of its divisors is an integer number (3377650185).

Almost surely, 2^678838253184 is an apocalyptic number.

678838253184 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 678838253184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297017671040).

678838253184 is an abundant number, since it is smaller than the sum of its proper divisors (1915197088896).

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

678838253184 is a wasteful number, since it uses less digits than its factorization.

678838253184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297 (or 7282 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 678838253184 in words is "six hundred seventy-eight billion, eight hundred thirty-eight million, two hundred fifty-three thousand, one hundred eighty-four".