679495680 has 288 divisors, whose sum is σ = 2410906680. Its totient is φ = 176947200.

The previous prime is 679495567. The next prime is 679495697. The reversal of 679495680 is 86594976.

679495680 is a `hidden beast` number, since 6 + 79 + 4 + 9 + 568 + 0 = 666.

679495680 is a nontrivial binomial coefficient, being equal to C(36865, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 666878976 + 12616704 = 25824^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6727630 + ... + 6727730.

Almost surely, 2^679495680 is an apocalyptic number.

679495680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

679495680 is the 36864-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205453340).

679495680 is an abundant number, since it is smaller than the sum of its proper divisors (1731411000).

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

679495680 is a wasteful number, since it uses less digits than its factorization.

679495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 679495680 is about 26067.1379326538. The cubic root of 679495680 is about 879.1484876135.

The spelling of 679495680 in words is "six hundred seventy-nine million, four hundred ninety-five thousand, six hundred eighty".