678856464 has 420 divisors, whose sum is σ = 2397425548. Its totient is φ = 184757760.

The previous prime is 678856459. The next prime is 678856483. The reversal of 678856464 is 464658876.

678856464 is a `hidden beast` number, since 6 + 78 + 8 + 564 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 361304064 + 317552400 = 19008^2 + 17820^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 678856464.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 18347454 + ... + 18347490.

Almost surely, 2^678856464 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 678856464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198712774).

678856464 is an abundant number, since it is smaller than the sum of its proper divisors (1718569084).

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

678856464 is a wasteful number, since it uses less digits than its factorization.

678856464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 678856464 is about 26054.8740929600. The cubic root of 678856464 is about 878.8727232459.

The spelling of 678856464 in words is "six hundred seventy-eight million, eight hundred fifty-six thousand, four hundred sixty-four".