676626906240 has 192 divisors, whose sum is σ = 2473917483960. Its totient is φ = 169820061696.

The previous prime is 676626906233. The next prime is 676626906247. The reversal of 676626906240 is 42609626676.

676626906240 is a `hidden beast` number, since 6 + 7 + 6 + 6 + 2 + 6 + 9 + 0 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (676626906233) and next prime (676626906247).

It can be written as a sum of positive squares in 4 ways, for example, as 414540247104 + 262086659136 = 643848^2 + 511944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×676626906240³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (676626906247) 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 23 ways as a sum of consecutive naturals, for example, 3357079 + ... + 3552918.

Almost surely, 2^676626906240 is an apocalyptic number.

676626906240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

676626906240 is an abundant number, since it is smaller than the sum of its proper divisors (1797290577720).

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

676626906240 is a wasteful number, since it uses less digits than its factorization.

676626906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910039 (or 6910024 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 676626906240 in words is "six hundred seventy-six billion, six hundred twenty-six million, nine hundred six thousand, two hundred forty".