676503305676 has 96 divisors (see below), whose sum is σ = 1914058594560. Its totient is φ = 204924297600.

The previous prime is 676503305609. The next prime is 676503305689.

It is a happy number.

676503305676 is a `hidden beast` number, since 6 + 76 + 5 + 0 + 3 + 3 + 0 + 567 + 6 = 666.

676503305676 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3110736 + ... + 3321096.

It is an arithmetic number, because the mean of its divisors is an integer number (19938110360).

Almost surely, 2^676503305676 is an apocalyptic number.

676503305676 is a gapful number since it is divisible by the number (66) 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 676503305676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957029297280).

676503305676 is an abundant number, since it is smaller than the sum of its proper divisors (1237555288884).

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

676503305676 is a wasteful number, since it uses less digits than its factorization.

676503305676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213092 (or 213084 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 676503305676 in words is "six hundred seventy-six billion, five hundred three million, three hundred five thousand, six hundred seventy-six".