676494000 has 720 divisors, whose sum is σ = 3010119840. Its totient is φ = 140313600.

The previous prime is 676493999. The next prime is 676494001. The reversal of 676494000 is 494676.

676494000 is a `hidden beast` number, since 6 + 7 + 649 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (676493999) and next prime (676494001).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (676494001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 11465971 + ... + 11466029.

It is an arithmetic number, because the mean of its divisors is an integer number (4180722).

Almost surely, 2^676494000 is an apocalyptic number.

676494000 is a gapful number since it is divisible by the number (60) 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 676494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505059920).

676494000 is an abundant number, since it is smaller than the sum of its proper divisors (2333625840).

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

676494000 is a wasteful number, since it uses less digits than its factorization.

676494000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 676494000 is about 26009.4982650569. The cubic root of 676494000 is about 877.8520271659.

The spelling of 676494000 in words is "six hundred seventy-six million, four hundred ninety-four thousand".