678224461824 has 912 divisors, whose sum is σ = 2517584231040. Its totient is φ = 178872385536.

The previous prime is 678224461807. The next prime is 678224461891. The reversal of 678224461824 is 428164422876.

It is a happy number.

678224461824 is a `hidden beast` number, since 6 + 7 + 82 + 24 + 461 + 82 + 4 = 666.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52171112442 + ... + 52171112454.

Almost surely, 2^678224461824 is an apocalyptic number.

678224461824 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 678224461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258792115520).

678224461824 is an abundant number, since it is smaller than the sum of its proper divisors (1839359769216).

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

678224461824 is an frugal number, since it uses more digits than its factorization.

678224461824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 25 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 678224461824 in words is "six hundred seventy-eight billion, two hundred twenty-four million, four hundred sixty-one thousand, eight hundred twenty-four".