676806917760 has 640 divisors, whose sum is σ = 2451069363600. Its totient is φ = 177959337984.

The previous prime is 676806917749. The next prime is 676806917797. The reversal of 676806917760 is 67719608676.

It can be written as a sum of positive squares in 8 ways, for example, as 377457869376 + 299349048384 = 614376^2 + 547128^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1654784436 + ... + 1654784844.

Almost surely, 2^676806917760 is an apocalyptic number.

676806917760 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 676806917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225534681800).

676806917760 is an abundant number, since it is smaller than the sum of its proper divisors (1774262445840).

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

676806917760 is a wasteful number, since it uses less digits than its factorization.

676806917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 676806917760 in words is "six hundred seventy-six billion, eight hundred six million, nine hundred seventeen thousand, seven hundred sixty".