679655145744 has 405 divisors, whose sum is σ = 2079502454757. Its totient is φ = 207197819136.

The previous prime is 679655145733. The next prime is 679655145781. The reversal of 679655145744 is 447541556976.

The square root of 679655145744 is 824412.

It is a perfect power (a square), and thus also a powerful number.

679655145744 is a `hidden beast` number, since 6 + 7 + 9 + 6 + 5 + 51 + 4 + 574 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 356394672144 + 323260473600 = 596988^2 + 568560^2 .

It is a super-2 number, since 2×679655145744² (a number of 24 digits) contains 22 as substring.

Its product of digits (127008000) is a multiple of the sum of its prime divisors (160).

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 80 ways as a sum of consecutive naturals, for example, 6598593597 + ... + 6598593699.

Almost surely, 2^679655145744 is an apocalyptic number.

679655145744 is the 824412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679655145744

679655145744 is an abundant number, since it is smaller than the sum of its proper divisors (1399847309013).

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

679655145744 is a wasteful number, since it uses less digits than its factorization.

679655145744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 160 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 679655145744 in words is "six hundred seventy-nine billion, six hundred fifty-five million, one hundred forty-five thousand, seven hundred forty-four".