679958541000 has 384 divisors, whose sum is σ = 2357574336000. Its totient is φ = 176677094400.

The previous prime is 679958540977. The next prime is 679958541001. The reversal of 679958541000 is 145859976.

679958541000 is a `hidden beast` number, since 6 + 7 + 9 + 95 + 8 + 541 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (679958541001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98555551 + ... + 98562449.

It is an arithmetic number, because the mean of its divisors is an integer number (6139516500).

Almost surely, 2^679958541000 is an apocalyptic number.

679958541000 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 679958541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178787168000).

679958541000 is an abundant number, since it is smaller than the sum of its proper divisors (1677615795000).

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

679958541000 is a wasteful number, since it uses less digits than its factorization.

679958541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7206 (or 7189 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 679958541000 in words is "six hundred seventy-nine billion, nine hundred fifty-eight million, five hundred forty-one thousand".