679793467680 has 384 divisors, whose sum is σ = 2580690792960. Its totient is φ = 166452756480.

The previous prime is 679793467649. The next prime is 679793467681. The reversal of 679793467680 is 86764397976.

679793467680 is a `hidden beast` number, since 6 + 79 + 7 + 93 + 467 + 6 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 679793467599 and 679793467608.

It is not an unprimeable number, because it can be changed into a prime (679793467681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2898157 + ... + 3123923.

It is an arithmetic number, because the mean of its divisors is an integer number (6720548940).

Almost surely, 2^679793467680 is an apocalyptic number.

679793467680 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 679793467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290345396480).

679793467680 is an abundant number, since it is smaller than the sum of its proper divisors (1900897325280).

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

679793467680 is a wasteful number, since it uses less digits than its factorization.

679793467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225849 (or 225835 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 679793467680 in words is "six hundred seventy-nine billion, seven hundred ninety-three million, four hundred sixty-seven thousand, six hundred eighty".