679547708640 has 288 divisors, whose sum is σ = 2366703795456. Its totient is φ = 177493155840.

The previous prime is 679547708629. The next prime is 679547708641. The reversal of 679547708640 is 46807745976.

679547708640 is a `hidden beast` number, since 6 + 7 + 9 + 547 + 7 + 0 + 86 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679547708641) 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 47 ways as a sum of consecutive naturals, for example, 47082225 + ... + 47096655.

It is an arithmetic number, because the mean of its divisors is an integer number (8217721512).

Almost surely, 2^679547708640 is an apocalyptic number.

679547708640 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 679547708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183351897728).

679547708640 is an abundant number, since it is smaller than the sum of its proper divisors (1687156086816).

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

679547708640 is a wasteful number, since it uses less digits than its factorization.

679547708640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15122 (or 15111 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 679547708640 in words is "six hundred seventy-nine billion, five hundred forty-seven million, seven hundred eight thousand, six hundred forty".