676049271744 has 896 divisors, whose sum is σ = 2366931861504. Its totient is φ = 166601318400.

The previous prime is 676049271739. The next prime is 676049271749. The reversal of 676049271744 is 447172940676.

It is an interprime number because it is at equal distance from previous prime (676049271739) and next prime (676049271749).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676049271749) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4048199149 + ... + 4048199315.

It is an arithmetic number, because the mean of its divisors is an integer number (2641665024).

Almost surely, 2^676049271744 is an apocalyptic number.

676049271744 is a gapful number since it is divisible by the number (64) 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 676049271744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183465930752).

676049271744 is an abundant number, since it is smaller than the sum of its proper divisors (1690882589760).

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

676049271744 is a wasteful number, since it uses less digits than its factorization.

676049271744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 676049271744 in words is "six hundred seventy-six billion, forty-nine million, two hundred seventy-one thousand, seven hundred forty-four".