679193242560 has 1344 divisors, whose sum is σ = 3033917752320. Its totient is φ = 141018071040.

The previous prime is 679193242549. The next prime is 679193242579. The reversal of 679193242560 is 65242391976.

679193242560 is a `hidden beast` number, since 6 + 7 + 9 + 1 + 9 + 32 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×679193242560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 679193242497 and 679193242506.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 268348495 + ... + 268351025.

It is an arithmetic number, because the mean of its divisors is an integer number (2257379280).

Almost surely, 2^679193242560 is an apocalyptic number.

679193242560 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 679193242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516958876160).

679193242560 is an abundant number, since it is smaller than the sum of its proper divisors (2354724509760).

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

679193242560 is a wasteful number, since it uses less digits than its factorization.

679193242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 679193242560 in words is "six hundred seventy-nine billion, one hundred ninety-three million, two hundred forty-two thousand, five hundred sixty".