679819345920 has 1368 divisors, whose sum is σ = 2873730292992. Its totient is φ = 147220070400.

The previous prime is 679819345871. The next prime is 679819345927. The reversal of 679819345920 is 29543918976.

679819345920 is a `hidden beast` number, since 6 + 7 + 9 + 8 + 1 + 9 + 34 + 592 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679819345927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21929656305 + ... + 21929656335.

It is a 1-persistent number, because it is pandigital, but 2⋅679819345920 = 1359638691840 is not.

Almost surely, 2^679819345920 is an apocalyptic number.

679819345920 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 679819345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436865146496).

679819345920 is an abundant number, since it is smaller than the sum of its proper divisors (2193910947072).

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

679819345920 is a wasteful number, since it uses less digits than its factorization.

679819345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 679819345920 in words is "six hundred seventy-nine billion, eight hundred nineteen million, three hundred forty-five thousand, nine hundred twenty".