676964939040 has 960 divisors, whose sum is σ = 2622697418880. Its totient is φ = 163452764160.

The previous prime is 676964939039. The next prime is 676964939041. The reversal of 676964939040 is 40939469676.

It is an interprime number because it is at equal distance from previous prime (676964939039) and next prime (676964939041).

It is a super-2 number, since 2×676964939040² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (676964939041) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 3208364535 + ... + 3208364745.

It is an arithmetic number, because the mean of its divisors is an integer number (2731976478).

Almost surely, 2^676964939040 is an apocalyptic number.

676964939040 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 676964939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311348709440).

676964939040 is an abundant number, since it is smaller than the sum of its proper divisors (1945732479840).

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

676964939040 is a wasteful number, since it uses less digits than its factorization.

676964939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 676964939040 in words is "six hundred seventy-six billion, nine hundred sixty-four million, nine hundred thirty-nine thousand, forty".