679684291776 has 280 divisors, whose sum is σ = 2438076095136. Its totient is φ = 182772080640.

The previous prime is 679684291771. The next prime is 679684291777. The reversal of 679684291776 is 677192486976.

679684291776 is a `hidden beast` number, since 6 + 79 + 68 + 429 + 1 + 7 + 76 = 666.

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 not an unprimeable number, because it can be changed into a prime (679684291771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66006 + ... + 1167786.

Almost surely, 2^679684291776 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 679684291776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219038047568).

679684291776 is an abundant number, since it is smaller than the sum of its proper divisors (1758391803360).

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

679684291776 is a wasteful number, since it uses less digits than its factorization.

679684291776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101829 (or 1101810 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

It can be divided in two parts, 67968 and 4291776, that added together give a square (4359744 = 2088²).

The spelling of 679684291776 in words is "six hundred seventy-nine billion, six hundred eighty-four million, two hundred ninety-one thousand, seven hundred seventy-six".