676001664 has 96 divisors (see below), whose sum is σ = 2094947400. Its totient is φ = 207995904.

The previous prime is 676001663. The next prime is 676001713. The reversal of 676001664 is 466100676.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676001663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7594 + ... + 37545.

Almost surely, 2^676001664 is an apocalyptic number.

676001664 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 676001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047473700).

676001664 is an abundant number, since it is smaller than the sum of its proper divisors (1418945736).

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

676001664 is a wasteful number, since it uses less digits than its factorization.

676001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45172 (or 45157 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 676001664 is about 26000.0319999803. The cubic root of 676001664 is about 877.6390156458.

The spelling of 676001664 in words is "six hundred seventy-six million, one thousand, six hundred sixty-four".