676863264 has 288 divisors, whose sum is σ = 2294562816. Its totient is φ = 172730880.

The previous prime is 676863263. The next prime is 676863287. The reversal of 676863264 is 462368676.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (676863263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5329569 + ... + 5329695.

It is an arithmetic number, because the mean of its divisors is an integer number (7967232).

Almost surely, 2^676863264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676863264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147281408).

676863264 is an abundant number, since it is smaller than the sum of its proper divisors (1617699552).

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

676863264 is a wasteful number, since it uses less digits than its factorization.

676863264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 676863264 is about 26016.5959341340. The cubic root of 676863264 is about 878.0117231810.

The spelling of 676863264 in words is "six hundred seventy-six million, eight hundred sixty-three thousand, two hundred sixty-four".