679141272880 has 640 divisors, whose sum is σ = 2051868672000. Its totient is φ = 203482202112.

The previous prime is 679141272877. The next prime is 679141272977. The reversal of 679141272880 is 88272141976.

It is a super-2 number, since 2×679141272880² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3045476449 + ... + 3045476671.

It is an arithmetic number, because the mean of its divisors is an integer number (3206044800).

Almost surely, 2^679141272880 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 679141272880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025934336000).

679141272880 is an abundant number, since it is smaller than the sum of its proper divisors (1372727399120).

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

679141272880 is a wasteful number, since it uses less digits than its factorization.

679141272880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The spelling of 679141272880 in words is "six hundred seventy-nine billion, one hundred forty-one million, two hundred seventy-two thousand, eight hundred eighty".