647472672 has 432 divisors, whose sum is σ = 2415565152. Its totient is φ = 162570240.

The previous prime is 647472653. The next prime is 647472673. The reversal of 647472672 is 276274746.

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 (647472673) 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 71 ways as a sum of consecutive naturals, for example, 6674928 + ... + 6675024.

It is an arithmetic number, because the mean of its divisors is an integer number (5591586).

Almost surely, 2^647472672 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 647472672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207782576).

647472672 is an abundant number, since it is smaller than the sum of its proper divisors (1768092480).

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

647472672 is a wasteful number, since it uses less digits than its factorization.

647472672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 647472672 is about 25445.4843145105. The cubic root of 647472672 is about 865.1149443518.

The spelling of 647472672 in words is "six hundred forty-seven million, four hundred seventy-two thousand, six hundred seventy-two".