663347672 has 64 divisors (see below), whose sum is σ = 1405743360. Its totient is φ = 291340800.

The previous prime is 663347621. The next prime is 663347723. The reversal of 663347672 is 276743366.

663347672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (663347621) and next prime (663347723).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194978 + ... + 198350.

It is an arithmetic number, because the mean of its divisors is an integer number (21964740).

Almost surely, 2^663347672 is an apocalyptic number.

663347672 is a gapful number since it is divisible by the number (62) 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 663347672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702871680).

663347672 is an abundant number, since it is smaller than the sum of its proper divisors (742395688).

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

663347672 is a wasteful number, since it uses less digits than its factorization.

663347672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3480 counting only the distinct ones).

The product of its digits is 762048, while the sum is 44.

The square root of 663347672 is about 25755.5367251393. The cubic root of 663347672 is about 872.1283478278.

The spelling of 663347672 in words is "six hundred sixty-three million, three hundred forty-seven thousand, six hundred seventy-two".