679664355552 has 576 divisors, whose sum is σ = 2419523398656. Its totient is φ = 176202915840.

The previous prime is 679664355547. The next prime is 679664355569. The reversal of 679664355552 is 255553466976.

It is a happy number.

679664355552 is a `hidden beast` number, since 6 + 79 + 6 + 6 + 4 + 3 + 5 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 679664355552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1077122277 + ... + 1077122907.

It is an arithmetic number, because the mean of its divisors is an integer number (4200561456).

Almost surely, 2^679664355552 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 679664355552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209761699328).

679664355552 is an abundant number, since it is smaller than the sum of its proper divisors (1739859043104).

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

679664355552 is a wasteful number, since it uses less digits than its factorization.

679664355552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1292 counting only the distinct ones).

The product of its digits is 204120000, while the sum is 63.

The spelling of 679664355552 in words is "six hundred seventy-nine billion, six hundred sixty-four million, three hundred fifty-five thousand, five hundred fifty-two".