678416947488 has 144 divisors (see below), whose sum is σ = 2334552554880. Its totient is φ = 182431438848.

The previous prime is 678416947469. The next prime is 678416947501. The reversal of 678416947488 is 884749614876.

678416947488 is a `hidden beast` number, since 6 + 7 + 8 + 41 + 69 + 47 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9863268 + ... + 9931811.

It is an arithmetic number, because the mean of its divisors is an integer number (16212170520).

Almost surely, 2^678416947488 is an apocalyptic number.

678416947488 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

678416947488 is an abundant number, since it is smaller than the sum of its proper divisors (1656135607392).

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

678416947488 is a wasteful number, since it uses less digits than its factorization.

678416947488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19795119 (or 19795108 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 678416947488 in words is "six hundred seventy-eight billion, four hundred sixteen million, nine hundred forty-seven thousand, four hundred eighty-eight".