678984768 has 420 divisors, whose sum is σ = 2564690832. Its totient is φ = 176359680.

The previous prime is 678984739. The next prime is 678984773. The reversal of 678984768 is 867489876.

678984768 is a `hidden beast` number, since 6 + 78 + 98 + 476 + 8 = 666.

It is a super-2 number, since 2×678984768² = 922040630352027648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (32514048) is a multiple of the sum of its prime factors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 61725883 + ... + 61725893.

Almost surely, 2^678984768 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 678984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282345416).

678984768 is an abundant number, since it is smaller than the sum of its proper divisors (1885706064).

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

678984768 is an frugal number, since it uses more digits than its factorization.

678984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 678984768 is about 26057.3361646965. The cubic root of 678984768 is about 878.9280887950.

The spelling of 678984768 in words is "six hundred seventy-eight million, nine hundred eighty-four thousand, seven hundred sixty-eight".